2+6(x-3)+15+2x=-(2x-7)+3(5x+8)-12

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Solution for 2+6(x-3)+15+2x=-(2x-7)+3(5x+8)-12 equation:



2+6(x-3)+15+2x=-(2x-7)+3(5x+8)-12
We move all terms to the left:
2+6(x-3)+15+2x-(-(2x-7)+3(5x+8)-12)=0
We add all the numbers together, and all the variables
2x+6(x-3)-(-(2x-7)+3(5x+8)-12)+17=0
We multiply parentheses
2x+6x-(-(2x-7)+3(5x+8)-12)-18+17=0
We calculate terms in parentheses: -(-(2x-7)+3(5x+8)-12), so:
-(2x-7)+3(5x+8)-12
We multiply parentheses
-(2x-7)+15x+24-12
We get rid of parentheses
-2x+15x+7+24-12
We add all the numbers together, and all the variables
13x+19
Back to the equation:
-(13x+19)
We add all the numbers together, and all the variables
8x-(13x+19)-1=0
We get rid of parentheses
8x-13x-19-1=0
We add all the numbers together, and all the variables
-5x-20=0
We move all terms containing x to the left, all other terms to the right
-5x=20
x=20/-5
x=-4

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