6(x-2)+4x=3(x+13)-2

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



6(x-2)+4x=3(x+13)-2
We move all terms to the left:
6(x-2)+4x-(3(x+13)-2)=0
We add all the numbers together, and all the variables
4x+6(x-2)-(3(x+13)-2)=0
We multiply parentheses
4x+6x-(3(x+13)-2)-12=0
We calculate terms in parentheses: -(3(x+13)-2), so:
3(x+13)-2
We multiply parentheses
3x+39-2
We add all the numbers together, and all the variables
3x+37
Back to the equation:
-(3x+37)
We add all the numbers together, and all the variables
10x-(3x+37)-12=0
We get rid of parentheses
10x-3x-37-12=0
We add all the numbers together, and all the variables
7x-49=0
We move all terms containing x to the left, all other terms to the right
7x=49
x=49/7
x=7

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