Solve 2x/3=5x/12-2

Evaluate

2 \times \frac{x}{3} = (5 \times \frac{x}{12}) - 2

Multiply the terms

\frac{2 x}{3} = (5 \times \frac{x}{12}) - 2

Multiply the terms

\frac{2 x}{3} = \frac{5 x}{12} - 2

Multiply both sides of the equation by LCD

\frac{2 x}{3} \times 12 = (\frac{5 x}{12} - 2) \times 12

Simplify the equation

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8 x = (\frac{5 x}{12} - 2) \times 12

Simplify the equation

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8 x = 5 x - 24

Move the variable to the left side

8 x - 5 x = - 24

Subtract the terms

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3 x = - 24

Divide both sides

\frac{3 x}{3} = \frac{- 24}{3}

Divide the numbers

x = \frac{- 24}{3}

Solution

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x = - 8

Solve the equation