Solve (3x 9)/2= (x-4)/3

Evaluate

\frac{3 x \times 9}{2} = \frac{x - 4}{3}

Multiply the terms

\frac{27 x}{2} = \frac{x - 4}{3}

Cross multiply

27 x \times 3 = 2 (x - 4)

Simplify the equation

81 x = 2 (x - 4)

Expand the expression

More Steps

81 x = 2 x - 8

Move the variable to the left side

81 x - 2 x = - 8

Subtract the terms

More Steps

79 x = - 8

Divide both sides

\frac{79 x}{79} = \frac{- 8}{79}

Divide the numbers

x = \frac{- 8}{79}

Solution

x = - \frac{8}{79}

Alternative Form

x \approx - 0.101266

Solve the equation