3(x+4)-2x+7=5(x-3)+2

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



3(x+4)-2x+7=5(x-3)+2
We move all terms to the left:
3(x+4)-2x+7-(5(x-3)+2)=0
We add all the numbers together, and all the variables
-2x+3(x+4)-(5(x-3)+2)+7=0
We multiply parentheses
-2x+3x-(5(x-3)+2)+12+7=0
We calculate terms in parentheses: -(5(x-3)+2), so:
5(x-3)+2
We multiply parentheses
5x-15+2
We add all the numbers together, and all the variables
5x-13
Back to the equation:
-(5x-13)
We add all the numbers together, and all the variables
x-(5x-13)+19=0
We get rid of parentheses
x-5x+13+19=0
We add all the numbers together, and all the variables
-4x+32=0
We move all terms containing x to the left, all other terms to the right
-4x=-32
x=-32/-4
x=+8

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