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5*(x-3)-4*(2+x)+2*(3x-8)=8
We simplify the equation to the form, which is simple to understand
5*(x-3)-4*(2+x)+2*(3x-8)=8
Reorder the terms in parentheses
+(+5x-15)-4*(2+x)+2*(3x-8)=8
Remove unnecessary parentheses
+5x-15-4+*(+2+x+)+2+*(+3x-8+)=+8
Reorder the terms in parentheses
+5x-15+(-8-4x)+2*(3x-8)=8
Remove unnecessary parentheses
+5x-15-8-4x+2+*(+3x-8+)=+8
Reorder the terms in parentheses
+5x-15-8-4x+(+6x-16)=8
Remove unnecessary parentheses
+5x-15-8-4x+6x-16=+8
We move all terms containing x to the left and all other terms to the right.
+5x-4x+6x=+8+15+8+16
We simplify left and right side of the equation.
+7x=+47
We divide both sides of the equation by 7 to get x.
x=6.71428571429
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