SOLUTION: Please Help! 1. -13 - 20 = 3x + 15 - 2x 2. y/-2 = -8 + 3squared 3. -15/3 = -2(5x) - 6x 4. -x = 42 I am so confused, Please HELP ME.

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: Please Help! 1. -13 - 20 = 3x + 15 - 2x 2. y/-2 = -8 + 3squared 3. -15/3 = -2(5x) - 6x 4. -x = 42 I am so confused, Please HELP ME.      Log On


   



Question 5958: Please Help!
1. -13 - 20 = 3x + 15 - 2x
2. y/-2 = -8 + 3squared
3. -15/3 = -2(5x) - 6x
4. -x = 42
I am so confused, Please HELP ME.

Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=-48.
  • Graphical form: Equation -13-20=3x%2B15-2x was fully solved.
  • Text form: -13-20=3x+15-2x simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+-13-20=3x%2B15-2x+%29
    For tutors: simplify_cartoon( -13-20=3x+15-2x )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at -highlight_red%28+13+%29-highlight_red%28+20+%29=3x%2B15-2x.
Added fractions or integers together
It becomes highlight_green%28+-33+%29=3x%2B15-2x.

Look at highlight_red%28+-33+%29=3x%2B15-2x.
Removed extra sign in front of -33
It becomes -highlight_green%28+33+%29=3x%2B15-2x.

Look at -33=3%2Ax%2Bhighlight_red%28+15+%29-2%2Ax.
Moved 15 to the right of expression
It becomes -33=3%2Ax-2%2Ax%2Bhighlight_green%28+15+%29.

Look at -33=highlight_red%28+3%2Ax+%29-highlight_red%28+2%2Ax+%29%2B15.
Eliminated similar terms highlight_red%28+3%2Ax+%29,highlight_red%28+-2%2Ax+%29 replacing them with highlight_green%28+%283-2%29%2Ax+%29
It becomes -33=highlight_green%28+%283-2%29%2Ax+%29%2B15.

Look at -33=highlight_red%28+%283-2%29+%29%2Ax%2B15.
Remove extraneous '1' from product highlight_red%28+%283-2%29+%29
It becomes -33=x%2B15.

Look at -33=highlight_red%28+x%2B15+%29.
Moved these terms to the left highlight_green%28+-x+%29,highlight_green%28+-15+%29
It becomes -33-highlight_green%28+x+%29-highlight_green%28+15+%29=0.

Look at -highlight_red%28+33+%29-x-highlight_red%28+15+%29=0.
Added fractions or integers together
It becomes highlight_green%28+-48+%29-x=0.

Look at highlight_red%28+-48+%29-x=0.
Moved -48 to the right of expression
It becomes -x%2Bhighlight_green%28+-48+%29=0.

Look at -x%2Bhighlight_red%28+-48+%29=0.
Removed extra sign in front of -48
It becomes -x-highlight_green%28+48+%29=0.

Look at highlight_red%28+-x-48+%29=0.
Solved linear equation highlight_red%28+-x-48=0+%29 equivalent to -x-48 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=-48.

Universal Simplifier and Solver


Done!

Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: y=-2.
  • Graphical form: Equation y%2F%28-2%29=-8%2B3%5E2 was fully solved.
  • Text form: y/(-2)=-8+3^2 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+y%2F%28-2%29=-8%2B3%5E2+%29
    For tutors: simplify_cartoon( y/(-2)=-8+3^2 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at highlight_red%28+y%2F%28-highlight_red%28+2+%29%29+%29=-8%2B3%5E2.
Remove unneeded parentheses around factor highlight_red%28+1%2F2+%29
It becomes -y%2Fhighlight_green%28+2+%29=-8%2B3%5E2.

Look at -y%2F2=-8%2Bhighlight_red%28+3+%29%5Ehighlight_red%28+2+%29.
Replace constants in factor: highlight_red%28+3+%29,highlight_red%28+2+%29 with highlight_green%28+9+%29
It becomes -y%2F2=-8%2Bhighlight_green%28+9+%29.

Look at -y%2F2=-highlight_red%28+8+%29%2Bhighlight_red%28+9+%29.
Added fractions or integers together
It becomes -y%2F2=highlight_green%28+1+%29.

Look at -y%2F2=highlight_red%28+1+%29.
Moved these terms to the left highlight_green%28+-1+%29
It becomes -y%2F2-highlight_green%28+1+%29=0.

Look at highlight_red%28+-y%2F2-1+%29=0.
Solved linear equation highlight_red%28+-y%2F2-1=0+%29 equivalent to -0.5*y-1 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: y=-2.

Universal Simplifier and Solver


Done!

Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=0.3125.
  • Graphical form: Equation -15%2F3=-2%2A%285x%29-6x was fully solved.
  • Text form: -15/3=-2*(5x)-6x simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+-15%2F3=-2%2A%285x%29-6x+%29
    For tutors: simplify_cartoon( -15/3=-2*(5x)-6x )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at -highlight_red%28+15+%29%2Fhighlight_red%28+3+%29=-2%2A%285x%29-6x.
Factors 15 and 3 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes -highlight_green%28+5+%29%2Fhighlight_green%28+1+%29=-2%2A%285x%29-6x.

Look at -5%2Fhighlight_red%28+1+%29=-2%2A%285x%29-6x.
Remove extraneous '1' from product highlight_red%28+1%2F1+%29
It becomes -5=-2%2A%285x%29-6x.

Look at -5=-highlight_red%28+2%2A%28highlight_red%28+5%2Ax+%29%29+%29-6%2Ax.
Remove unneeded parentheses around factor highlight_red%28+5+%29,highlight_red%28+x+%29
It becomes -5=-2%2Ahighlight_green%28+5+%29%2Ahighlight_green%28+x+%29-6%2Ax.

Look at -5=-highlight_red%28+2+%29%2Ahighlight_red%28+5+%29%2Ax-6%2Ax.
Multiplied numerator integers
It becomes -5=-highlight_green%28+10+%29%2Ax-6%2Ax.

Look at -5=-highlight_red%28+10%2Ax+%29-highlight_red%28+6%2Ax+%29.
Eliminated similar terms highlight_red%28+-10%2Ax+%29,highlight_red%28+-6%2Ax+%29 replacing them with highlight_green%28+%28-10-6%29%2Ax+%29
It becomes -5=highlight_green%28+%28-10-6%29%2Ax+%29.

Look at -5=%28-highlight_red%28+10+%29-highlight_red%28+6+%29%29%2Ax.
Added fractions or integers together
It becomes -5=%28highlight_green%28+-16+%29%29%2Ax.

Look at -5=%28highlight_red%28+-16+%29%29%2Ax.
Removed extra sign in front of -16
It becomes -5=%28-highlight_green%28+16+%29%29%2Ax.

Look at -5=highlight_red%28+%28-highlight_red%28+16+%29%29%2Ax+%29.
Remove unneeded parentheses around factor highlight_red%28+16+%29
It becomes -5=-highlight_green%28+16+%29%2Ax.

Look at -5=highlight_red%28+-16%2Ax+%29.
Moved these terms to the left highlight_green%28+16%2Ax+%29
It becomes -5%2Bhighlight_green%28+16%2Ax+%29=0.

Look at -highlight_red%28+5+%29%2B16%2Ax=0.
Moved -5 to the right of expression
It becomes 16%2Ax-highlight_green%28+5+%29=0.

Look at highlight_red%28+16%2Ax-5+%29=0.
Solved linear equation highlight_red%28+16%2Ax-5=0+%29 equivalent to 16*x-5 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=0.3125.

Universal Simplifier and Solver


Done!

Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=-42.
  • Graphical form: Equation -x=42 was fully solved.
  • Text form: -x=42 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+-x=42+%29
    For tutors: simplify_cartoon( -x=42 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at -x=highlight_red%28+42+%29.
Moved these terms to the left highlight_green%28+-42+%29
It becomes -x-highlight_green%28+42+%29=0.

Look at highlight_red%28+-x-42+%29=0.
Solved linear equation highlight_red%28+-x-42=0+%29 equivalent to -x-42 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=-42.

Universal Simplifier and Solver


Done!