x-1/3+2x-1/2=41/6+1/3(7-x)

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Solution for x-1/3+2x-1/2=41/6+1/3(7-x) equation:


x-1/3 + 2x-1/2 = 4 1/6 + 1/3 (7-x)

We simplify the equation to the form, which is simple to understand 
x-1/3+2x-1/2=41/6+1/3(7-x)

Simplifying:
x-0.333333333333+2x-1/2=41/6+1/3*(7-x)

Simplifying:
x-0.333333333333+2x-0.5=41/6+1/3*(7-x)

Simplifying:
x-0.333333333333+2x-0.5=+6.83333333333+1/3*(7-x)

Simplifying:
x-0.333333333333+2x-0.5=+6.83333333333 + 0.333333333333*(7-x)

Reorder the terms in parentheses
x-0.333333333333+2x-0.5=+6.83333333333+(+2.33333333333-0.333333333333x)

Remove unnecessary parentheses
+x-0.333333333333+2x-0.5=+6.83333333333+2.33333333333-0.333333333333x

We move all terms containing x to the left and all other terms to the right. 
+1x+2x + 0.333333333333x=+6.83333333333+2.33333333333 + 0.333333333333 + 0.5

We simplify left and right side of the equation. 
+3.33333333333x=+10

We divide both sides of the equation by 3.33333333333 to get x. 
x=3

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