2(3x-4)+5(x+6)=7(x+3)-10

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Solution for 2(3x-4)+5(x+6)=7(x+3)-10 equation:



2(3x-4)+5(x+6)=7(x+3)-10
We move all terms to the left:
2(3x-4)+5(x+6)-(7(x+3)-10)=0
We multiply parentheses
6x+5x-(7(x+3)-10)-8+30=0
We calculate terms in parentheses: -(7(x+3)-10), so:
7(x+3)-10
We multiply parentheses
7x+21-10
We add all the numbers together, and all the variables
7x+11
Back to the equation:
-(7x+11)
We add all the numbers together, and all the variables
11x-(7x+11)+22=0
We get rid of parentheses
11x-7x-11+22=0
We add all the numbers together, and all the variables
4x+11=0
We move all terms containing x to the left, all other terms to the right
4x=-11
x=-11/4
x=-2+3/4

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