Find All Complex Solutions 5x=8x-15

$5 x = 8 x - 15$

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

Subtract $8 x$ from both sides of the equation.

$5 x - 8 x = - 15$

Subtract $8 x$ from $5 x$ .

$- 3 x = - 15$

Divide each term in $- 3 x = - 15$ by $- 3$ and simplify.

Divide each term in $- 3 x = - 15$ by $- 3$ .

$\frac{- 3 x}{- 3} = \frac{- 15}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 x}{- 3} = \frac{- 15}{- 3}$

Divide $x$ by $1$ .

$x = \frac{- 15}{- 3}$

Simplify the right side.

Divide $- 15$ by $- 3$ .

$x = 5$