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2/7 (5x+4) = 1/2 (3x-14) +6
We simplify the equation to the form, which is simple to understand
2/7(5x+4)=1/2(3x-14)+6
Reorder the terms in parentheses
+(+1.4285714285714x+1.1428571428571)=0.5*(3x-14)+6
Remove unnecessary parentheses
+1.4285714285714x+1.1428571428571=0.5+*(+3x-14+)+6
Reorder the terms in parentheses
+1.4285714285714x+1.1428571428571=+(+1.5x-7)+6
Remove unnecessary parentheses
+1.4285714285714x+1.1428571428571=+1.5x-7+6
We move all terms containing x to the left and all other terms to the right.
+1.4285714285714x-1.5x=-7+6-1.1428571428571
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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