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5(x-7)=8(x-2)
We simplify the equation to the form, which is simple to understand
5(x-7)=8(x-2)
Reorder the terms in parentheses
+(+5x-35)=8*(x-2)
Remove unnecessary parentheses
+5x-35=+8+*(+x-2+)
Reorder the terms in parentheses
+5x-35=+(+8x-16)
Remove unnecessary parentheses
+5x-35=+8x-16
We move all terms containing x to the left and all other terms to the right.
+5x-8x=-16+35
We simplify left and right side of the equation.
-3x=+19
We divide both sides of the equation by -3 to get x.
x=-6.3333333333333
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