Solve for x -19=2/10x-9

$- 19 = \frac{2}{10} x - 9$

Rewrite the equation as $\frac{2}{10} x - 9 = - 19$ .

$\frac{2}{10} x - 9 = - 19$

Simplify each term.

Cancel the common factor of $2$ and $10$ .

Factor $2$ out of $2$ .

$\frac{2 (1)}{10} x - 9 = - 19$

Cancel the common factors.

Factor $2$ out of $10$ .

$\frac{2 \cdot 1}{2 \cdot 5} x - 9 = - 19$

Cancel the common factor.

$\frac{2 \cdot 1}{2 \cdot 5} x - 9 = - 19$

Rewrite the expression.

$\frac{1}{5} x - 9 = - 19$

Combine $\frac{1}{5}$ and $x$ .

$\frac{x}{5} - 9 = - 19$

Move all terms not containing $x$ to the right side of the equation.

Add $9$ to both sides of the equation.

$\frac{x}{5} = - 19 + 9$

Add $- 19$ and $9$ .

$\frac{x}{5} = - 10$

Multiply both sides of the equation by $5$ .

$5 \frac{x}{5} = 5 \cdot - 10$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$5 \frac{x}{5} = 5 \cdot - 10$

Rewrite the expression.

$x = 5 \cdot - 10$

Simplify the right side.

Multiply $5$ by $- 10$ .

$x = - 50$