3(x-2)-4(x-1)=2(4-x)-7

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Solution for 3(x-2)-4(x-1)=2(4-x)-7 equation:



3(x-2)-4(x-1)=2(4-x)-7
We move all terms to the left:
3(x-2)-4(x-1)-(2(4-x)-7)=0
We add all the numbers together, and all the variables
3(x-2)-4(x-1)-(2(-1x+4)-7)=0
We multiply parentheses
3x-4x-(2(-1x+4)-7)-6+4=0
We calculate terms in parentheses: -(2(-1x+4)-7), so:
2(-1x+4)-7
We multiply parentheses
-2x+8-7
We add all the numbers together, and all the variables
-2x+1
Back to the equation:
-(-2x+1)
We add all the numbers together, and all the variables
-1x-(-2x+1)-2=0
We get rid of parentheses
-1x+2x-1-2=0
We add all the numbers together, and all the variables
x-3=0
We move all terms containing x to the left, all other terms to the right
x=3

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