7(6-x)=2(x-5)-5x

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Solution for 7(6-x)=2(x-5)-5x equation:



7(6-x)=2(x-5)-5x
We move all terms to the left:
7(6-x)-(2(x-5)-5x)=0
We add all the numbers together, and all the variables
7(-1x+6)-(2(x-5)-5x)=0
We multiply parentheses
-7x-(2(x-5)-5x)+42=0
We calculate terms in parentheses: -(2(x-5)-5x), so:
2(x-5)-5x
We add all the numbers together, and all the variables
-5x+2(x-5)
We multiply parentheses
-5x+2x-10
We add all the numbers together, and all the variables
-3x-10
Back to the equation:
-(-3x-10)
We get rid of parentheses
-7x+3x+10+42=0
We add all the numbers together, and all the variables
-4x+52=0
We move all terms containing x to the left, all other terms to the right
-4x=-52
x=-52/-4
x=+13

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