Solve for x (3x)/5=x-8

$\frac{3 x}{5} = x - 8$

Multiply both sides by $5$ .

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

Simplify.

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

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

Rewrite the expression.

$3 x = (x - 8) \cdot 5$

Simplify the right side.

Simplify $(x - 8) \cdot 5$ .

Apply the distributive property.

$3 x = x \cdot 5 - 8 \cdot 5$

Simplify the expression.

Move $5$ to the left of $x$ .

$3 x = 5 \cdot x - 8 \cdot 5$

Multiply $- 8$ by $5$ .

$3 x = 5 x - 40$

Solve for $x$ .

Move all terms containing $x$ to the left side of the equation.

Subtract $5 x$ from both sides of the equation.

$3 x - 5 x = - 40$

Subtract $5 x$ from $3 x$ .

$- 2 x = - 40$

Divide each term in $- 2 x = - 40$ by $- 2$ and simplify.

Divide each term in $- 2 x = - 40$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{- 40}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{- 40}{- 2}$

Divide $x$ by $1$ .

$x = \frac{- 40}{- 2}$

Simplify the right side.

Divide $- 40$ by $- 2$ .

$x = 20$