2-3(4-5x)=6(1-x)+3x

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Solution for 2-3(4-5x)=6(1-x)+3x equation:



2-3(4-5x)=6(1-x)+3x
We move all terms to the left:
2-3(4-5x)-(6(1-x)+3x)=0
We add all the numbers together, and all the variables
-3(-5x+4)-(6(-1x+1)+3x)+2=0
We multiply parentheses
15x-(6(-1x+1)+3x)-12+2=0
We calculate terms in parentheses: -(6(-1x+1)+3x), so:
6(-1x+1)+3x
We add all the numbers together, and all the variables
3x+6(-1x+1)
We multiply parentheses
3x-6x+6
We add all the numbers together, and all the variables
-3x+6
Back to the equation:
-(-3x+6)
We add all the numbers together, and all the variables
15x-(-3x+6)-10=0
We get rid of parentheses
15x+3x-6-10=0
We add all the numbers together, and all the variables
18x-16=0
We move all terms containing x to the left, all other terms to the right
18x=16
x=16/18
x=8/9

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