6(4x-3)+7=2(3-x)+3x

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



6(4x-3)+7=2(3-x)+3x
We move all terms to the left:
6(4x-3)+7-(2(3-x)+3x)=0
We add all the numbers together, and all the variables
6(4x-3)-(2(-1x+3)+3x)+7=0
We multiply parentheses
24x-(2(-1x+3)+3x)-18+7=0
We calculate terms in parentheses: -(2(-1x+3)+3x), so:
2(-1x+3)+3x
We add all the numbers together, and all the variables
3x+2(-1x+3)
We multiply parentheses
3x-2x+6
We add all the numbers together, and all the variables
x+6
Back to the equation:
-(x+6)
We add all the numbers together, and all the variables
24x-(x+6)-11=0
We get rid of parentheses
24x-x-6-11=0
We add all the numbers together, and all the variables
23x-17=0
We move all terms containing x to the left, all other terms to the right
23x=17
x=17/23
x=17/23

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