Solve (x 8) / 3 = (3x - 2) / 8

Evaluate

\frac{x \times 8}{3} = \frac{3 x - 2}{8}

Use the commutative property to reorder the terms

\frac{8 x}{3} = \frac{3 x - 2}{8}

Cross multiply

8 x \times 8 = 3 (3 x - 2)

Simplify the equation

64 x = 3 (3 x - 2)

Expand the expression

More Steps

64 x = 9 x - 6

Move the variable to the left side

64 x - 9 x = - 6

Subtract the terms

More Steps

55 x = - 6

Divide both sides

\frac{55 x}{55} = \frac{- 6}{55}

Divide the numbers

x = \frac{- 6}{55}

Solution

x = - \frac{6}{55}

Alternative Form

x = - 0.1 \dot{0} \dot{9}

Solve the equation