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.4(2x+6)+.1=.5(6x-8)
We simplify the equation to the form, which is simple to understand
.4(2x+6)+.1=.5(6x-8)
Reorder the terms in parentheses
+( + 0.8x+2.4)+.1=.5*(6x-8)
Remove unnecessary parentheses
+ 0.8x+2.4+.1=+.5+*(+6x-8+)
Reorder the terms in parentheses
+ 0.8x+2.4+.1=+(+3x-4)
Remove unnecessary parentheses
+ 0.8x+2.4+.1=+3x-4
We move all terms containing x to the left and all other terms to the right.
+ 0.8x-3x=-4-2.4-0.1
We simplify left and right side of the equation.
-2.2x=-6.5
We divide both sides of the equation by -2.2 to get x.
x=2.95454545455
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