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(2/7)(5x+4)=(1/2)(3x-16)+7
We simplify the equation to the form, which is simple to understand
(2/7)*(5x+4)=(1/2)*(3x-16)+7
Reorder the terms in parentheses
multiplication of parentheses
(+1.4285714285714x+1.1428571428571)=( + 0.5)*(3x-16)+7
Remove unnecessary parentheses
+1.4285714285714x+1.1428571428571=( + 0.5)*(3x-16)+7
Reorder the terms in parentheses
multiplication of parentheses
+1.4285714285714x+1.1428571428571=(+1.5x-8)+7
Remove unnecessary parentheses
+1.4285714285714x+1.1428571428571=+1.5x-8+7
We move all terms containing x to the left and all other terms to the right.
+1.4285714285714x-1.5x=-8+7-1.1428571428571
We simplify left and right side of the equation.
-0.071428571428572x=-2.1428571428571
We divide both sides of the equation by -0.071428571428572 to get x.
x=29.999999999999
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