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2.5(3x-8)-1.4(2x+4)=2(2.1x-12)-4.6
We simplify the equation to the form, which is simple to understand
2.5(3x-8)-1.4(2x+4)=2(2.1x-12)-4.6
Reorder the terms in parentheses
+(+7.5x-20)-1.4*(2x+4)=2*(2.1x-12)-4.6
Remove unnecessary parentheses
+7.5x-20-1.4+*(+2x+4+)=+2+*(+2.1x-12+)-4.6
Reorder the terms in parentheses
+7.5x-20+(-2.8x-5.6)=2*(2.1x-12)-4.6
Remove unnecessary parentheses
+7.5x-20-2.8x-5.6=+2+*(+2.1x-12+)-4.6
Reorder the terms in parentheses
+7.5x-20-2.8x-5.6=+(+4.2x-24)-4.6
Remove unnecessary parentheses
+7.5x-20-2.8x-5.6=+4.2x-24-4.6
We move all terms containing x to the left and all other terms to the right.
+7.5x-2.8x-4.2x=-24-4.6+20+5.6
We simplify left and right side of the equation.
+ 0.5x=-3
We divide both sides of the equation by 0.5 to get x.
x=-6
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