3(x-11)=8(7-x)-12

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Solution for 3(x-11)=8(7-x)-12 equation:



3(x-11)=8(7-x)-12
We move all terms to the left:
3(x-11)-(8(7-x)-12)=0
We add all the numbers together, and all the variables
3(x-11)-(8(-1x+7)-12)=0
We multiply parentheses
3x-(8(-1x+7)-12)-33=0
We calculate terms in parentheses: -(8(-1x+7)-12), so:
8(-1x+7)-12
We multiply parentheses
-8x+56-12
We add all the numbers together, and all the variables
-8x+44
Back to the equation:
-(-8x+44)
We get rid of parentheses
3x+8x-44-33=0
We add all the numbers together, and all the variables
11x-77=0
We move all terms containing x to the left, all other terms to the right
11x=77
x=77/11
x=7

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