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5(x-2)-3(4-x)=2
We simplify the equation to the form, which is simple to understand
5(x-2)-3(4-x)=2
Reorder the terms in parentheses
+(+5x-10)-3*(4-x)=2
Remove unnecessary parentheses
+5x-10-3+*(+4-x+)=+2
Reorder the terms in parentheses
+5x-10+(-12+3x)=2
Remove unnecessary parentheses
+5x-10-12+3x=+2
We move all terms containing x to the left and all other terms to the right.
+5x+3x=+2+10+12
We simplify left and right side of the equation.
+8x=+24
We divide both sides of the equation by 8 to get x.
x=3
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