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1/2-2(x-1)/4-3(2x+5)/3+6-7x/2=5-6x/3
We simplify the equation to the form, which is simple to understand
1/2-2(x-1)/4-3(2x+5)/3+6-7x/2=5-6x/3
Reorder the terms in parentheses
+ 0.5+(-2x+2)/4-3*(2x+5)/3+6-3.5x=5-2x
Reorder the terms in parentheses
+ 0.5+(-0.5x + 0.5)-3*(2x+5)/3+6-3.5x=5-2x
Remove unnecessary parentheses
+ 0.5-0.5x + 0.5-3+*(+2x+5+)+/3+6-3.5x=+5-2x
Reorder the terms in parentheses
+ 0.5-0.5x + 0.5+(-6x-15)/3+6-3.5x=5-2x
Reorder the terms in parentheses
+ 0.5-0.5x + 0.5+(-2x-5)+6-3.5x=5-2x
Remove unnecessary parentheses
+ 0.5-0.5x + 0.5-2x-5+6-3.5x=+5-2x
We move all terms containing x to the left and all other terms to the right.
-0.5x-2x-3.5x+2x=+5-0.5-0.5+5-6
We simplify left and right side of the equation.
-4x=+3
We divide both sides of the equation by -4 to get x.
x=-0.75
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