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

Evaluate

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

Remove the parentheses

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

Multiply

More Steps

\frac{5 x}{8} = 2 x - \frac{1}{2}

Multiply both sides of the equation by LCD

\frac{5 x}{8} \times 8 = (2 x - \frac{1}{2}) \times 8

Simplify the equation

5 x = (2 x - \frac{1}{2}) \times 8

Simplify the equation

More Steps

5 x = 16 x - 4

Move the variable to the left side

5 x - 16 x = - 4

Subtract the terms

More Steps

- 11 x = - 4

Change the signs on both sides of the equation

11 x = 4

Divide both sides

\frac{11 x}{11} = \frac{4}{11}

Solution

x = \frac{4}{11}

Alternative Form

x = 0. \dot{3} \dot{6}

Solve the equation