Solve x/4+x/6=x-7

Evaluate

\frac{x}{4} + \frac{x}{6} = x - 7

Multiply both sides of the equation by LCD

(\frac{x}{4} + \frac{x}{6}) \times 12 = (x - 7) \times 12

Simplify the equation

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5 x = (x - 7) \times 12

Simplify the equation

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5 x = 12 x - 84

Move the variable to the left side

5 x - 12 x = - 84

Subtract the terms

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- 7 x = - 84

Change the signs on both sides of the equation

7 x = 84

Divide both sides

\frac{7 x}{7} = \frac{84}{7}

Divide the numbers

x = \frac{84}{7}

Solution

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x = 12

Solve the equation