SOLUTION: solve. 7x - 3(4 - 2x)= 2(x-3)- (5-x)

Algebra ->  Expressions -> SOLUTION: solve. 7x - 3(4 - 2x)= 2(x-3)- (5-x)      Log On


   

Question 213470This question is from textbook
: solve. 7x - 3(4 - 2x)= 2(x-3)- (5-x) This question is from textbook

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
7x - 3(4 - 2x)= 2(x-3)- (5-x)

The following steps will simplify and solve the above equation.

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


YOUR ANSWER


  • This is an equation! Solutions: x=0.1.
  • Graphical form: Equation 7x-3%2A%284-2x%29=2%2A%28x-3%29-%285-x%29 was fully solved.
  • Text form: 7x-3*(4-2x)=2*(x-3)-(5-x) simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+7x-3%2A%284-2x%29=2%2A%28x-3%29-%285-x%29+%29
    For tutors: simplify_cartoon( 7x-3*(4-2x)=2*(x-3)-(5-x) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 7%2Ax-3%2A%28highlight_red%28+4+%29-2%2Ax%29=2%2A%28x-3%29-%285-x%29.
Moved 4 to the right of expression
It becomes 7%2Ax-3%2A%28-2%2Ax%2Bhighlight_green%28+4+%29%29=2%2A%28x-3%29-%285-x%29.
Look at 7%2Ax-3%2A%28-2%2Ax%2B4%29=2%2A%28x-3%29-highlight_red%28+%285-x%29+%29.
Remove unneeded parentheses around terms highlight_red%28+-5+%29,highlight_red%28+x+%29
It becomes 7%2Ax-3%2A%28-2%2Ax%2B4%29=2%2A%28x-3%29-highlight_green%28+5+%29%2Bhighlight_green%28+x+%29.
Look at 7%2Ax-3%2A%28-2%2Ax%2B4%29=2%2A%28x-3%29-highlight_red%28+5+%29%2Bx.
Moved -5 to the right of expression
It becomes 7%2Ax-3%2A%28-2%2Ax%2B4%29=2%2A%28x-3%29%2Bx-highlight_green%28+5+%29.
Look at 7%2Ax-3%2A%28-2%2Ax%2B4%29=highlight_red%28+2%2A%28x-3%29%2Bx-5+%29.
Moved these terms to the left highlight_green%28+-2%2A%28x-3%29+%29,highlight_green%28+-x+%29,highlight_green%28+5+%29
It becomes .
Look at highlight_red%28+7%2Ax+%29-3%2A%28-2%2Ax%2B4%29-2%2A%28x-3%29-highlight_red%28+x+%29%2B5=0.
Eliminated similar terms highlight_red%28+7%2Ax+%29,highlight_red%28+-x+%29 replacing them with highlight_green%28+%287-1%29%2Ax+%29
It becomes highlight_green%28+%287-1%29%2Ax+%29-3%2A%28-2%2Ax%2B4%29-2%2A%28x-3%29%2B5=0.
Look at .
Added fractions or integers together
It becomes %28highlight_green%28+6+%29%29%2Ax-3%2A%28-2%2Ax%2B4%29-2%2A%28x-3%29%2B5=0.
Look at .
Remove unneeded parentheses around factor highlight_red%28+6+%29
It becomes highlight_green%28+6+%29%2Ax-3%2A%28-2%2Ax%2B4%29-2%2A%28x-3%29%2B5=0.
Look at 6%2Ax-highlight_red%28+3%2A%28-2%2Ax%2B4%29+%29-2%2A%28x-3%29%2B5=0.
Expanded term -3 by using associative property on %28-2%2Ax%2B4%29
It becomes 6%2Ax%2Bhighlight_green%28+3%2A2%2Ax+%29-highlight_green%28+3%2A4+%29-2%2A%28x-3%29%2B5=0.
Look at 6%2Ax%2Bhighlight_red%28+3+%29%2Ahighlight_red%28+2+%29%2Ax-3%2A4-2%2A%28x-3%29%2B5=0.
Multiplied numerator integers
It becomes 6%2Ax%2Bhighlight_green%28+6+%29%2Ax-3%2A4-2%2A%28x-3%29%2B5=0.
Look at 6%2Ax%2B6%2Ax-highlight_red%28+3+%29%2Ahighlight_red%28+4+%29-2%2A%28x-3%29%2B5=0.
Multiplied numerator integers
It becomes 6%2Ax%2B6%2Ax-highlight_green%28+12+%29-2%2A%28x-3%29%2B5=0.
Look at 6%2Ax%2B6%2Ax-highlight_red%28+12+%29-2%2A%28x-3%29%2Bhighlight_red%28+5+%29=0.
Added fractions or integers together
It becomes 6%2Ax%2B6%2Ax%2Bhighlight_green%28+-7+%29-2%2A%28x-3%29=0.
Look at 6%2Ax%2B6%2Ax%2Bhighlight_red%28+-7+%29-2%2A%28x-3%29=0.
Moved -7 to the right of expression
It becomes 6%2Ax%2B6%2Ax-2%2A%28x-3%29%2Bhighlight_green%28+-7+%29=0.
Look at 6%2Ax%2B6%2Ax-2%2A%28x-3%29%2Bhighlight_red%28+-7+%29=0.
Removed extra sign in front of -7
It becomes 6%2Ax%2B6%2Ax-2%2A%28x-3%29-highlight_green%28+7+%29=0.
Look at highlight_red%28+6%2Ax+%29%2Bhighlight_red%28+6%2Ax+%29-2%2A%28x-3%29-7=0.
Eliminated similar terms highlight_red%28+6%2Ax+%29,highlight_red%28+6%2Ax+%29 replacing them with highlight_green%28+%286%2B6%29%2Ax+%29
It becomes highlight_green%28+%286%2B6%29%2Ax+%29-2%2A%28x-3%29-7=0.
Look at %28highlight_red%28+6+%29%2Bhighlight_red%28+6+%29%29%2Ax-2%2A%28x-3%29-7=0.
Added fractions or integers together
It becomes %28highlight_green%28+12+%29%29%2Ax-2%2A%28x-3%29-7=0.
Look at highlight_red%28+%28highlight_red%28+12+%29%29%2Ax+%29-2%2A%28x-3%29-7=0.
Remove unneeded parentheses around factor highlight_red%28+12+%29
It becomes highlight_green%28+12+%29%2Ax-2%2A%28x-3%29-7=0.
Look at 12%2Ax-highlight_red%28+2%2A%28x-3%29+%29-7=0.
Expanded term -2 by using associative property on %28x-3%29
It becomes 12%2Ax-highlight_green%28+2%2Ax+%29%2Bhighlight_green%28+2%2A3+%29-7=0.
Look at 12%2Ax-2%2Ax%2Bhighlight_red%28+2+%29%2Ahighlight_red%28+3+%29-7=0.
Multiplied numerator integers
It becomes 12%2Ax-2%2Ax%2Bhighlight_green%28+6+%29-7=0.
Look at 12%2Ax-2%2Ax%2Bhighlight_red%28+6+%29-highlight_red%28+7+%29=0.
Added fractions or integers together
It becomes 12%2Ax-2%2Ax%2Bhighlight_green%28+-1+%29=0.
Look at 12%2Ax-2%2Ax%2Bhighlight_red%28+-1+%29=0.
Removed extra sign in front of -1
It becomes 12%2Ax-2%2Ax-highlight_green%28+1+%29=0.
Look at highlight_red%28+12%2Ax+%29-highlight_red%28+2%2Ax+%29-1=0.
Eliminated similar terms highlight_red%28+12%2Ax+%29,highlight_red%28+-2%2Ax+%29 replacing them with highlight_green%28+%2812-2%29%2Ax+%29
It becomes highlight_green%28+%2812-2%29%2Ax+%29-1=0.
Look at %28highlight_red%28+12+%29-highlight_red%28+2+%29%29%2Ax-1=0.
Added fractions or integers together
It becomes %28highlight_green%28+10+%29%29%2Ax-1=0.
Look at highlight_red%28+%28highlight_red%28+10+%29%29%2Ax+%29-1=0.
Remove unneeded parentheses around factor highlight_red%28+10+%29
It becomes highlight_green%28+10+%29%2Ax-1=0.
Look at highlight_red%28+10%2Ax-1+%29=0.
Solved linear equation highlight_red%28+10%2Ax-1=0+%29 equivalent to 10*x-1 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=0.1.

Universal Simplifier and Solver


Done!





I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J