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4*(2x-1) - 12 = 3(5-2x) + 6 (x -1) + 24
We simplify the equation to the form, which is simple to understand
4*(2x-1)-12=3(5-2x)+6(x-1)+24
Reorder the terms in parentheses
+(+8x-4)-12=3*(5-2x)+6*(x-1)+24
Remove unnecessary parentheses
+8x-4-12=+3+*(+5-2x+)+6+*(+x-1+)+24
Reorder the terms in parentheses
+8x-4-12=+(+15-6x)+6*(x-1)+24
Remove unnecessary parentheses
+8x-4-12=+15-6x+6+*(+x-1+)+24
Reorder the terms in parentheses
+8x-4-12=+15-6x+(+6x-6)+24
Remove unnecessary parentheses
+8x-4-12=+15-6x+6x-6+24
We move all terms containing x to the left and all other terms to the right.
+8x+6x-6x=+15-6+24+4+12
We simplify left and right side of the equation.
+8x=+49
We divide both sides of the equation by 8 to get x.
x=6.125
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