4(x-3)=3(8-x)-5x

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Solution for 4(x-3)=3(8-x)-5x equation:



4(x-3)=3(8-x)-5x
We move all terms to the left:
4(x-3)-(3(8-x)-5x)=0
We add all the numbers together, and all the variables
4(x-3)-(3(-1x+8)-5x)=0
We multiply parentheses
4x-(3(-1x+8)-5x)-12=0
We calculate terms in parentheses: -(3(-1x+8)-5x), so:
3(-1x+8)-5x
We add all the numbers together, and all the variables
-5x+3(-1x+8)
We multiply parentheses
-5x-3x+24
We add all the numbers together, and all the variables
-8x+24
Back to the equation:
-(-8x+24)
We get rid of parentheses
4x+8x-24-12=0
We add all the numbers together, and all the variables
12x-36=0
We move all terms containing x to the left, all other terms to the right
12x=36
x=36/12
x=3

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