4(x-1)-(x-7)=-2(x-4)+10

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Solution for 4(x-1)-(x-7)=-2(x-4)+10 equation:



4(x-1)-(x-7)=-2(x-4)+10
We move all terms to the left:
4(x-1)-(x-7)-(-2(x-4)+10)=0
We multiply parentheses
4x-(x-7)-(-2(x-4)+10)-4=0
We get rid of parentheses
4x-x-(-2(x-4)+10)+7-4=0
We calculate terms in parentheses: -(-2(x-4)+10), so:
-2(x-4)+10
We multiply parentheses
-2x+8+10
We add all the numbers together, and all the variables
-2x+18
Back to the equation:
-(-2x+18)
We add all the numbers together, and all the variables
3x-(-2x+18)+3=0
We get rid of parentheses
3x+2x-18+3=0
We add all the numbers together, and all the variables
5x-15=0
We move all terms containing x to the left, all other terms to the right
5x=15
x=15/5
x=3

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