Solve (5x)/6 - (x-3)/2 = (2x-1)/3 - 1/2

Evaluate

\frac{5 x}{6} - \frac{x - 3}{2} = \frac{2 x - 1}{3} - \frac{1}{2}

Multiply both sides of the equation by LCD

(\frac{5 x}{6} - \frac{x - 3}{2}) \times 6 = (\frac{2 x - 1}{3} - \frac{1}{2}) \times 6

Simplify the equation

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2 x + 9 = (\frac{2 x - 1}{3} - \frac{1}{2}) \times 6

Simplify the equation

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2 x + 9 = 4 x - 5

Move the expression to the left side

2 x + 9 - 4 x = - 5

Move the expression to the right side

2 x - 4 x = - 5 - 9

Add and subtract

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- 2 x = - 5 - 9

Add and subtract

- 2 x = - 14

Change the signs on both sides of the equation

2 x = 14

Divide both sides

\frac{2 x}{2} = \frac{14}{2}

Divide the numbers

x = \frac{14}{2}

Solution

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x = 7

Solve the equation