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3/4(1/4x+8)-(1/2x+2)=3/8(4-x)-1/4
We simplify the equation to the form, which is simple to understand
3/4(1/4x+8)-(1/2x+2)=3/8(4-x)-1/4
Reorder the terms in parentheses
+(/4x+6)-(/2x+2)=0.375*(4-x)-0.25
Remove unnecessary parentheses
+/4x+6-(+/2x+2+)=0.375+*(+4-x+)-0.25
Remove unnecessary parentheses
/4x+6-2x-2=0.375*(4-x)-0.25
Reorder the terms in parentheses
/4x+6-2x-2=+(+1.5-0.375x)-0.25
Remove unnecessary parentheses
+/4x+6-2x-2=+1.5-0.375x-0.25
We move all terms containing x to the left and all other terms to the right.
+4x-2x + 0.375x=+1.5-0.25-6+2
We simplify left and right side of the equation.
+2.375x=-2.75
We divide both sides of the equation by 2.375 to get x.
x=-1.1578947368421
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