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(3/2)*(x+3)=(4/5)*x-8
We simplify the equation to the form, which is simple to understand
(3/2)*(x+3)=(4/5)*x-8
Simplifying:
(+1.5)*(x+3)=(4/5)*x-8
Simplifying:
(+1.5)*(x+3)=( + 0.8)*x-8
Reorder the terms in parentheses
multiplication of parentheses
(+1.5x+4.5)=( + 0.8)*x-8
Remove unnecessary parentheses
+1.5x+4.5=( + 0.8)*x-8
Reorder the terms in parentheses
+1.5x+4.5=( + 0.8x)-8
Remove unnecessary parentheses
+1.5x+4.5=0.8x-8
We move all terms containing x to the left and all other terms to the right.
+1.5x-0.8x=-8-4.5
We simplify left and right side of the equation.
+ 0.7x=-12.5
We divide both sides of the equation by 0.7 to get x.
x=-17.8571428571
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