Solve (x 8)/5=(4x-8)/10

Evaluate

\frac{x \times 8}{5} = \frac{4 x - 8}{10}

Use the commutative property to reorder the terms

\frac{8 x}{5} = \frac{4 x - 8}{10}

Divide the terms

More Steps

\frac{8 x}{5} = \frac{2 x - 4}{5}

Cross multiply

8 x \times 5 = 5 (2 x - 4)

Simplify the equation

40 x = 5 (2 x - 4)

Rewrite the expression

10 \times 4 x = 10 (x - 2)

Evaluate

4 x = x - 2

Move the variable to the left side

4 x - x = - 2

Subtract the terms

More Steps

3 x = - 2

Divide both sides

\frac{3 x}{3} = \frac{- 2}{3}

Divide the numbers

x = \frac{- 2}{3}

Solution

x = - \frac{2}{3}

Alternative Form

x = - 0. \dot{6}

Solve the equation