Solve for x x=-2+4/5x-3

$x = - 2 + \frac{4}{5} x - 3$

Simplify $- 2 + \frac{4}{5} x - 3$ .

Combine $\frac{4}{5}$ and $x$ .

$x = - 2 + \frac{4 x}{5} - 3$

Subtract $3$ from $- 2$ .

$x = \frac{4 x}{5} - 5$

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

Subtract $\frac{4 x}{5}$ from both sides of the equation.

$x - \frac{4 x}{5} = - 5$

To write $x$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$x \cdot \frac{5}{5} - \frac{4 x}{5} = - 5$

Combine $x$ and $\frac{5}{5}$ .

$\frac{x \cdot 5}{5} - \frac{4 x}{5} = - 5$

Combine the numerators over the common denominator.

$\frac{x \cdot 5 - 4 x}{5} = - 5$

Simplify the numerator.

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

$\frac{5 \cdot x - 4 x}{5} = - 5$

Subtract $4 x$ from $5 x$ .

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

Multiply both sides of the equation by $5$ .

$5 \frac{x}{5} = 5 \cdot - 5$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$5 \frac{x}{5} = 5 \cdot - 5$

Rewrite the expression.

$x = 5 \cdot - 5$

Simplify the right side.

Multiply $5$ by $- 5$ .

$x = - 25$