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3 (5x-5) - 2 (9x-8) = 4 (8x-13) - 17
We simplify the equation to the form, which is simple to understand
3(5x-5)-2(9x-8)=4(8x-13)-17
Reorder the terms in parentheses
+(+15x-15)-2*(9x-8)=4*(8x-13)-17
Remove unnecessary parentheses
+15x-15-2+*(+9x-8+)=+4+*(+8x-13+)-17
Reorder the terms in parentheses
+15x-15+(-18x+16)=4*(8x-13)-17
Remove unnecessary parentheses
+15x-15-18x+16=+4+*(+8x-13+)-17
Reorder the terms in parentheses
+15x-15-18x+16=+(+32x-52)-17
Remove unnecessary parentheses
+15x-15-18x+16=+32x-52-17
We move all terms containing x to the left and all other terms to the right.
+15x-18x-32x=-52-17+15-16
We simplify left and right side of the equation.
-35x=-70
We divide both sides of the equation by -35 to get x.
x=2
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