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

Evaluate

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

Multiply both sides of the equation by LCD

\frac{2 x - 1}{3} \times 15 = (x - \frac{x - 1}{5}) \times 15

Simplify the equation

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10 x - 5 = (x - \frac{x - 1}{5}) \times 15

Simplify the equation

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10 x - 5 = 12 x + 3

Move the expression to the left side

10 x - 5 - 12 x = 3

Move the expression to the right side

10 x - 12 x = 3 + 5

Add and subtract

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- 2 x = 3 + 5

Add and subtract

- 2 x = 8

Change the signs on both sides of the equation

2 x = - 8

Divide both sides

\frac{2 x}{2} = \frac{- 8}{2}

Divide the numbers

x = \frac{- 8}{2}

Solution

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x = - 4

Solve the equation