5(4x+3)-3(x-6)=13(x+7)+2(37-4x)

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Solution for 5(4x+3)-3(x-6)=13(x+7)+2(37-4x) equation:



5(4x+3)-3(x-6)=13(x+7)+2(37-4x)
We move all terms to the left:
5(4x+3)-3(x-6)-(13(x+7)+2(37-4x))=0
We add all the numbers together, and all the variables
5(4x+3)-3(x-6)-(13(x+7)+2(-4x+37))=0
We multiply parentheses
20x-3x-(13(x+7)+2(-4x+37))+15+18=0
We calculate terms in parentheses: -(13(x+7)+2(-4x+37)), so:
13(x+7)+2(-4x+37)
We multiply parentheses
13x-8x+91+74
We add all the numbers together, and all the variables
5x+165
Back to the equation:
-(5x+165)
We add all the numbers together, and all the variables
17x-(5x+165)+33=0
We get rid of parentheses
17x-5x-165+33=0
We add all the numbers together, and all the variables
12x-132=0
We move all terms containing x to the left, all other terms to the right
12x=132
x=132/12
x=11

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