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.9x-.1(4-5x)=-.4(x-8)
We simplify the equation to the form, which is simple to understand
.9x-.1(4-5x)=-.4(x-8)
Reorder the terms in parentheses
.9x+(-0.4 + 0.5x)=-.4*(x-8)
Remove unnecessary parentheses
+.9x-0.4 + 0.5x=-.4+*(+x-8+)
Reorder the terms in parentheses
.9x-0.4 + 0.5x=+(-0.4x+3.2)
Remove unnecessary parentheses
+.9x-0.4 + 0.5x=-0.4x+3.2
We move all terms containing x to the left and all other terms to the right.
+ 0.9x + 0.5x + 0.4x=+3.2 + 0.4
We simplify left and right side of the equation.
+1.8x=+3.6
We divide both sides of the equation by 1.8 to get x.
x=2
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