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(2/3)(3-x)=(1/4)(x-3)
We simplify the equation to the form, which is simple to understand
(2/3)*(3-x)=(1/4)*(x-3)
Reorder the terms in parentheses
multiplication of parentheses
(+2-0.66666666666667x)=( + 0.25)*(x-3)
Remove unnecessary parentheses
+2-0.66666666666667x=( + 0.25)*(x-3)
Reorder the terms in parentheses
multiplication of parentheses
+2-0.66666666666667x=( + 0.25x-0.75)
Remove unnecessary parentheses
+2-0.66666666666667x=0.25x-0.75
We move all terms containing x to the left and all other terms to the right.
-0.66666666666667x-0.25x=-0.75-2
We simplify left and right side of the equation.
-0.91666666666667x=-2.75
We divide both sides of the equation by -0.91666666666667 to get x.
x=3
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