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-5(1-x)+6(x-7)=8(x+2)-15
We simplify the equation to the form, which is simple to understand
-5(1-x)+6(x-7)=8(x+2)-15
Reorder the terms in parentheses
+(-5+5x)+6*(x-7)=8*(x+2)-15
Remove unnecessary parentheses
-5+5x+6+*(+x-7+)=+8+*(+x+2+)-15
Reorder the terms in parentheses
-5+5x+(+6x-42)=8*(x+2)-15
Remove unnecessary parentheses
-5+5x+6x-42=+8+*(+x+2+)-15
Reorder the terms in parentheses
-5+5x+6x-42=+(+8x+16)-15
Remove unnecessary parentheses
-5+5x+6x-42=+8x+16-15
We move all terms containing x to the left and all other terms to the right.
+5x+6x-8x=+16-15+5+42
We simplify left and right side of the equation.
+3x=+48
We divide both sides of the equation by 3 to get x.
x=16
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