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4*(2-3x)-2*(9x-8)=15*(1-x)+3*(4-x)
We simplify the equation to the form, which is simple to understand
4*(2-3x)-2*(9x-8)=15*(1-x)+3*(4-x)
Reorder the terms in parentheses
+(+8-12x)-2*(9x-8)=15*(1-x)+3*(4-x)
Remove unnecessary parentheses
+8-12x-2+*(+9x-8+)=+15+*(+1-x+)+3+*(+4-x+)
Reorder the terms in parentheses
+8-12x+(-18x+16)=15*(1-x)+3*(4-x)
Remove unnecessary parentheses
+8-12x-18x+16=+15+*(+1-x+)+3+*(+4-x+)
Reorder the terms in parentheses
+8-12x-18x+16=+(+15-15x)+3*(4-x)
Remove unnecessary parentheses
+8-12x-18x+16=+15-15x+3+*(+4-x+)
Reorder the terms in parentheses
+8-12x-18x+16=+15-15x+(+12-3x)
Remove unnecessary parentheses
+8-12x-18x+16=+15-15x+12-3x
We move all terms containing x to the left and all other terms to the right.
-12x-18x+15x+3x=+15+12-8-16
We simplify left and right side of the equation.
-12x=+3
We divide both sides of the equation by -12 to get x.
x=-0.25
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