Solve x/2 - 1/5 = x/3 1/4

Evaluate

\frac{x}{2} - \frac{1}{5} = \frac{x}{3} \times \frac{1}{4}

Multiply the terms

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\frac{x}{2} - \frac{1}{5} = \frac{x}{12}

Multiply both sides of the equation by LCD

(\frac{x}{2} - \frac{1}{5}) \times 60 = \frac{x}{12} \times 60

Simplify the equation

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30 x - 12 = \frac{x}{12} \times 60

Simplify the equation

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30 x - 12 = 5 x

Move the variable to the left side

30 x - 12 - 5 x = 0

Subtract the terms

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25 x - 12 = 0

Move the constant to the right side

25 x = 0 + 12

Removing 0 doesn't change the value,so remove it from the expression

25 x = 12

Divide both sides

\frac{25 x}{25} = \frac{12}{25}

Solution

x = \frac{12}{25}

Alternative Form

x = 0.48

Solve the equation