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7(x-1)+8=5(7-x)+14
We move all terms to the left:
7(x-1)+8-(5(7-x)+14)=0
We add all the numbers together, and all the variables
7(x-1)-(5(-1x+7)+14)+8=0
We multiply parentheses
7x-(5(-1x+7)+14)-7+8=0
We calculate terms in parentheses: -(5(-1x+7)+14), so:We add all the numbers together, and all the variables
5(-1x+7)+14
We multiply parentheses
-5x+35+14
We add all the numbers together, and all the variables
-5x+49
Back to the equation:
-(-5x+49)
7x-(-5x+49)+1=0
We get rid of parentheses
7x+5x-49+1=0
We add all the numbers together, and all the variables
12x-48=0
We move all terms containing x to the left, all other terms to the right
12x=48
x=48/12
x=4
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