SOLUTION: -3(x+5)=3(x-1) 6-b=5b+30 5y-2y=3y+2 2(7+3t)=-t 3(a+1)-5=3a-2

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Question 27359: -3(x+5)=3(x-1)
6-b=5b+30
5y-2y=3y+2
2(7+3t)=-t
3(a+1)-5=3a-2
Answer by Alwayscheerful(414)   (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=-2.
  • Graphical form: Equation was fully solved.
  • Text form: -3*(x+5)=3*(x-1) simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( -3*(x+5)=3*(x-1) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Moved these terms to the left highlight_green%28+-3%2A%28x-1%29+%29
It becomes .
Look at .
Expanded term -3 by using associative property on %28x%2B5%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Moved -15 to the right of expression
It becomes .
Look at .
Expanded term -3 by using associative property on %28x-1%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Removed extra sign in front of -12
It becomes .
Look at .
Eliminated similar terms highlight_red%28+-3%2Ax+%29,highlight_red%28+-3%2Ax+%29 replacing them with highlight_green%28+%28-3-3%29%2Ax+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Removed extra sign in front of -6
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+6+%29
It becomes .
Look at .
Solved linear equation highlight_red%28+-6%2Ax-12=0+%29 equivalent to -6*x-12 =0
It becomes .
Result:
This is an equation! Solutions: x=-2.

Universal Simplifier and Solver


Done!




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


YOUR ANSWER


  • This is an equation! Solutions: b=-4.
  • Graphical form: Equation was fully solved.
  • Text form: 6-b=5b+30 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 6-b=5b+30 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Moved 6 to the right of expression
It becomes .
Look at .
Moved these terms to the left highlight_green%28+-5%2Ab+%29,highlight_green%28+-30+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Moved -24 to the right of expression
It becomes .
Look at .
Removed extra sign in front of -24
It becomes .
Look at .
Eliminated similar terms highlight_red%28+-b+%29,highlight_red%28+-5%2Ab+%29 replacing them with highlight_green%28+%28-1-5%29%2Ab+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Removed extra sign in front of -6
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+6+%29
It becomes .
Look at .
Solved linear equation highlight_red%28+-6%2Ab-24=0+%29 equivalent to -6*b-24 =0
It becomes .
Result:
This is an equation! Solutions: b=-4.

Universal Simplifier and Solver


Done!




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


YOUR ANSWER


  • Graphical form: simplifies to
  • Text form: 5y-2y=3y+2 simplifies to -2=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 5y-2y=3y+2 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Eliminated similar terms highlight_red%28+5%2Ay+%29,highlight_red%28+-2%2Ay+%29 replacing them with highlight_green%28+%285-2%29%2Ay+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+3+%29
It becomes .
Look at .
Moved these terms to the left highlight_green%28+-3%2Ay+%29,highlight_green%28+-2+%29
It becomes .
Look at .
Eliminated similar terms highlight_red%28+3%2Ay+%29,highlight_red%28+-3%2Ay+%29 replacing them with highlight_green%28+%283-3%29%2Ay+%29
It becomes .
Look at .
Since highlight_red%28+%283-3%29%2Ay+%29 has zero as a factor, it should be replaced with a zero
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove extraneous zero highlight_red%28+0+%29
It becomes .
Result:

Universal Simplifier and Solver


Done!




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


YOUR ANSWER


  • This is an equation! Solutions: t=-2.
  • Graphical form: Equation was fully solved.
  • Text form: 2*(7+3t)=-t simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 2*(7+3t)=-t )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Moved 7 to the right of expression
It becomes .
Look at .
Moved these terms to the left highlight_green%28+t+%29
It becomes .
Look at .
Expanded term 2 by using associative property on %283%2At%2B7%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Moved 14 to the right of expression
It becomes .
Look at .
Eliminated similar terms highlight_red%28+6%2At+%29,highlight_red%28+t+%29 replacing them with highlight_green%28+%286%2B1%29%2At+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+7+%29
It becomes .
Look at .
Solved linear equation highlight_red%28+7%2At%2B14=0+%29 equivalent to 7*t+14 =0
It becomes .
Result:
This is an equation! Solutions: t=-2.

Universal Simplifier and Solver


Done!




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


YOUR ANSWER


  • Graphical form: Equation was fully solved.
  • Text form: 3*(a+1)-5=3a-2 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 3*(a+1)-5=3a-2 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Moved these terms to the left highlight_green%28+-3%2Aa+%29,highlight_green%28+2+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Moved -3 to the right of expression
It becomes .
Look at .
Removed extra sign in front of -3
It becomes .
Look at .
Expanded term 3 by using associative property on %28a%2B1%29
It becomes .
Look at .
Multiplied numerator integers
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Moved 0 to the right of expression
It becomes .
Look at .
Remove extraneous zero highlight_red%28+0+%29
It becomes .
Look at .
Eliminated similar terms highlight_red%28+3%2Aa+%29,highlight_red%28+-3%2Aa+%29 replacing them with highlight_green%28+%283-3%29%2Aa+%29
It becomes .
Look at .
Since highlight_red%28+%283-3%29%2Aa+%29 has zero as a factor, it should be replaced with a zero
Look at .
Added fractions or integers together
It becomes .
Result:

Universal Simplifier and Solver


Done!



Next time, please separate your questions. Thanks. :)
Hope this helps!
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