6(5-2x)-8=3(x-2)-2

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Solution for 6(5-2x)-8=3(x-2)-2 equation:



6(5-2x)-8=3(x-2)-2
We move all terms to the left:
6(5-2x)-8-(3(x-2)-2)=0
We add all the numbers together, and all the variables
6(-2x+5)-(3(x-2)-2)-8=0
We multiply parentheses
-12x-(3(x-2)-2)+30-8=0
We calculate terms in parentheses: -(3(x-2)-2), so:
3(x-2)-2
We multiply parentheses
3x-6-2
We add all the numbers together, and all the variables
3x-8
Back to the equation:
-(3x-8)
We add all the numbers together, and all the variables
-12x-(3x-8)+22=0
We get rid of parentheses
-12x-3x+8+22=0
We add all the numbers together, and all the variables
-15x+30=0
We move all terms containing x to the left, all other terms to the right
-15x=-30
x=-30/-15
x=+2

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