Solve 3x/8-5x/8=-x/6-21/4

Evaluate

(3 \times \frac{x}{8}) - (5 \times \frac{x}{8}) = - \frac{x}{6} - \frac{21}{4}

Simplify

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\frac{3 x}{8} - \frac{5 x}{8} = - \frac{x}{6} - \frac{21}{4}

Multiply both sides of the equation by LCD

(\frac{3 x}{8} - \frac{5 x}{8}) \times 24 = (- \frac{x}{6} - \frac{21}{4}) \times 24

Simplify the equation

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- 6 x = (- \frac{x}{6} - \frac{21}{4}) \times 24

Simplify the equation

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- 6 x = - 4 x - 126

Move the variable to the left side

- 6 x + 4 x = - 126

Add the terms

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- 2 x = - 126

Change the signs on both sides of the equation

2 x = 126

Divide both sides

\frac{2 x}{2} = \frac{126}{2}

Divide the numbers

x = \frac{126}{2}

Solution

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x = 63

Solve the equation