Solve (6x 7)/7 = ((5x-3)/8) 3

Evaluate

\frac{6 x \times 7}{7} = (\frac{5 x - 3}{8}) \times 3

Reduce the fraction

More Steps

6 x = (\frac{5 x - 3}{8}) \times 3

Simplify

More Steps

6 x = \frac{3 ( 5 x - 3 )}{8}

Cross multiply

6 x \times 8 = 3 (5 x - 3)

Simplify the equation

48 x = 3 (5 x - 3)

Rewrite the expression

3 \times 16 x = 3 (5 x - 3)

Evaluate

16 x = 5 x - 3

Move the variable to the left side

16 x - 5 x = - 3

Subtract the terms

More Steps

11 x = - 3

Divide both sides

\frac{11 x}{11} = \frac{- 3}{11}

Divide the numbers

x = \frac{- 3}{11}

Solution

x = - \frac{3}{11}

Alternative Form

x = - 0. \dot{2} \dot{7}

Solve the equation