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3(x - 2) + 4(x - 3) - 2(x + 3) = 125 + 1/2 (2x - 8)
We simplify the equation to the form, which is simple to understand
3(x-2)+4(x-3)-2(x+3)=125+1/2(2x-8)
Reorder the terms in parentheses
+(+3x-6)+4*(x-3)-2*(x+3)=125 + 0.5*(2x-8)
Remove unnecessary parentheses
+3x-6+4+*(+x-3+)-2+*(+x+3+)=+125 + 0.5+*(+2x-8+)
Reorder the terms in parentheses
+3x-6+(+4x-12)-2*(x+3)=125 + 0.5*(2x-8)
Remove unnecessary parentheses
+3x-6+4x-12-2+*(+x+3+)=+125 + 0.5+*(+2x-8+)
Reorder the terms in parentheses
+3x-6+4x-12+(-2x-6)=125 + 0.5*(2x-8)
Remove unnecessary parentheses
+3x-6+4x-12-2x-6=+125 + 0.5+*(+2x-8+)
Reorder the terms in parentheses
+3x-6+4x-12-2x-6=125+(+1x-4)
Remove unnecessary parentheses
+3x-6+4x-12-2x-6=+125+1x-4
We move all terms containing x to the left and all other terms to the right.
+3x+4x-2x-1x=+125-4+6+12+6
We simplify left and right side of the equation.
+4x=+145
We divide both sides of the equation by 4 to get x.
x=36.25
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