Solve 5/6x 1/4 = 1/3x - 15/4

Evaluate

\frac{5}{6} x \times \frac{1}{4} = \frac{1}{3} x - \frac{15}{4}

Multiply the terms

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\frac{5}{24} x = \frac{1}{3} x - \frac{15}{4}

Move the variable to the left side

\frac{5}{24} x - \frac{1}{3} x = - \frac{15}{4}

Subtract the terms

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- \frac{1}{8} x = - \frac{15}{4}

Change the signs on both sides of the equation

\frac{1}{8} x = \frac{15}{4}

Multiply by the reciprocal

\frac{1}{8} x \times 8 = \frac{15}{4} \times 8

Multiply

x = \frac{15}{4} \times 8

Solution

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x = 30

Solve the equation