12-3(5x-2)=7(2-3x)+2

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



12-3(5x-2)=7(2-3x)+2
We move all terms to the left:
12-3(5x-2)-(7(2-3x)+2)=0
We add all the numbers together, and all the variables
-3(5x-2)-(7(-3x+2)+2)+12=0
We multiply parentheses
-15x-(7(-3x+2)+2)+6+12=0
We calculate terms in parentheses: -(7(-3x+2)+2), so:
7(-3x+2)+2
We multiply parentheses
-21x+14+2
We add all the numbers together, and all the variables
-21x+16
Back to the equation:
-(-21x+16)
We add all the numbers together, and all the variables
-15x-(-21x+16)+18=0
We get rid of parentheses
-15x+21x-16+18=0
We add all the numbers together, and all the variables
6x+2=0
We move all terms containing x to the left, all other terms to the right
6x=-2
x=-2/6
x=-1/3

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