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2(3x+7)=4(8-x)
We simplify the equation to the form, which is simple to understand
2(3x+7)=4(8-x)
Reorder the terms in parentheses
+(+6x+14)=4*(8-x)
Remove unnecessary parentheses
+6x+14=+4+*(+8-x+)
Reorder the terms in parentheses
+6x+14=+(+32-4x)
Remove unnecessary parentheses
+6x+14=+32-4x
We move all terms containing x to the left and all other terms to the right.
+6x+4x=+32-14
We simplify left and right side of the equation.
+10x=+18
We divide both sides of the equation by 10 to get x.
x=1.8
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