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(3x+1)/2=-6(x+4)/4
We simplify the equation to the form, which is simple to understand
(3x+1)/2=-6(x+4)/4
Reorder the terms in parentheses
(+1.5x + 0.5)=-6*(x+4)/4
Remove unnecessary parentheses
+1.5x + 0.5=-6*(x+4)/4
Reorder the terms in parentheses
+1.5x + 0.5=+(-6x-24)/4
Reorder the terms in parentheses
+1.5x + 0.5=+(-1.5x-6)
Remove unnecessary parentheses
+1.5x + 0.5=-1.5x-6
We move all terms containing x to the left and all other terms to the right.
+1.5x+1.5x=-6-0.5
We simplify left and right side of the equation.
+3x=-6.5
We divide both sides of the equation by 3 to get x.
x=-2.16666666667
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