6-(2x-3)=5(6-x)-4x

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



6-(2x-3)=5(6-x)-4x
We move all terms to the left:
6-(2x-3)-(5(6-x)-4x)=0
We add all the numbers together, and all the variables
-(2x-3)-(5(-1x+6)-4x)+6=0
We get rid of parentheses
-2x-(5(-1x+6)-4x)+3+6=0
We calculate terms in parentheses: -(5(-1x+6)-4x), so:
5(-1x+6)-4x
We add all the numbers together, and all the variables
-4x+5(-1x+6)
We multiply parentheses
-4x-5x+30
We add all the numbers together, and all the variables
-9x+30
Back to the equation:
-(-9x+30)
We add all the numbers together, and all the variables
-2x-(-9x+30)+9=0
We get rid of parentheses
-2x+9x-30+9=0
We add all the numbers together, and all the variables
7x-21=0
We move all terms containing x to the left, all other terms to the right
7x=21
x=21/7
x=3

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