Solve 2/2x-2 = 5/3x-3

Evaluate

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

Simplify

More Steps

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

Multiply both sides of the equation by LCM

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

Calculate

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

Calculate

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3 x - 6 = 5 x - 9

Move the expression to the left side

3 x - 6 - 5 x = - 9

Move the expression to the right side

3 x - 5 x = - 9 + 6

Add and subtract

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- 2 x = - 9 + 6

Add and subtract

- 2 x = - 3

Change the signs on both sides of the equation

2 x = 3

Divide both sides

\frac{2 x}{2} = \frac{3}{2}

Solution

x = \frac{3}{2}

Alternative Form

x = 1.5

Solve the equation