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(5-2x)/7-(6-5x)/2=3-x+1/4(3x-1)
We simplify the equation to the form, which is simple to understand
(5-2x)/7-(6-5x)/2=3-x+1/4(3x-1)
Simplifying:
(5-2x)/7-(6-5x)/2=3-x + 0.25*(3x-1)
Reorder the terms in parentheses
( + 0.714285714286-0.285714285714x)-(6-5x)/2=3-x + 0.25*(3x-1)
Remove unnecessary parentheses
+ 0.714285714286-0.285714285714x-(6-5x)/2=3-x + 0.25*(3x-1)
Reorder the terms in parentheses
+ 0.714285714286-0.285714285714x-(+3-2.5x)=3-x + 0.25*(3x-1)
Remove unnecessary parentheses
+ 0.714285714286-0.285714285714x-3+2.5x=3-x + 0.25*(3x-1)
Reorder the terms in parentheses
+ 0.714285714286-0.285714285714x-3+2.5x=3-x+( + 0.75x-0.25)
Remove unnecessary parentheses
+ 0.714285714286-0.285714285714x-3+2.5x=+3-x + 0.75x-0.25
We move all terms containing x to the left and all other terms to the right.
-0.285714285714x+2.5x+1x-0.75x=+3-0.25-0.714285714286+3
We simplify left and right side of the equation.
+2.46428571429x=+5.03571428571
We divide both sides of the equation by 2.46428571429 to get x.
x=2.04347826087
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