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4(2x-2)-3(x+5)=0
We simplify the equation to the form, which is simple to understand
4(2x-2)-3(x+5)=0
Reorder the terms in parentheses
+(+8x-8)-3*(x+5)=0
Remove unnecessary parentheses
+8x-8-3+*(+x+5+)=0
Reorder the terms in parentheses
+8x-8+(-3x-15)=0
Remove unnecessary parentheses
+8x-8-3x-15=0
We move all terms containing x to the left and all other terms to the right.
+8x-3x=0+8+15
We simplify left and right side of the equation.
+5x=+23
We divide both sides of the equation by 5 to get x.
x=4.6
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