Solve 1/2x-5=10-3/4x

Evaluate

\frac{1}{2} x - 5 = 10 - \frac{3}{4} x

Multiply both sides of the equation by LCM

(\frac{1}{2} x - 5) \times 4 = (10 - \frac{3}{4} x) \times 4

Calculate

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2 x - 20 = (10 - \frac{3}{4} x) \times 4

Calculate

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2 x - 20 = 40 - 3 x

Move the expression to the left side

2 x - 20 + 3 x = 40

Move the expression to the right side

2 x + 3 x = 40 + 20

Add and subtract

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5 x = 40 + 20

Add and subtract

5 x = 60

Divide both sides

\frac{5 x}{5} = \frac{60}{5}

Divide the numbers

x = \frac{60}{5}

Solution

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x = 12

Solve the equation