Solve for x 19=-4+2/5x+10

$19 = - 4 + \frac{2}{5} x + 10$

Rewrite the equation as $- 4 + \frac{2}{5} x + 10 = 19$ .

$- 4 + \frac{2}{5} x + 10 = 19$

Simplify $- 4 + \frac{2}{5} x + 10$ .

Combine $\frac{2}{5}$ and $x$ .

$- 4 + \frac{2 x}{5} + 10 = 19$

Add $- 4$ and $10$ .

$\frac{2 x}{5} + 6 = 19$

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

Subtract $6$ from both sides of the equation.

$\frac{2 x}{5} = 19 - 6$

Subtract $6$ from $19$ .

$\frac{2 x}{5} = 13$

Multiply both sides of the equation by $\frac{5}{2}$ .

$\frac{5}{2} \cdot \frac{2 x}{5} = \frac{5}{2} \cdot 13$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{5}{2} \cdot \frac{2 x}{5}$ .

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5}{2} \cdot \frac{2 x}{5} = \frac{5}{2} \cdot 13$

Rewrite the expression.

$\frac{1}{2} (2 x) = \frac{5}{2} \cdot 13$

Cancel the common factor of $2$ .

Factor $2$ out of $2 x$ .

$\frac{1}{2} (2 (x)) = \frac{5}{2} \cdot 13$

Cancel the common factor.

$\frac{1}{2} (2 x) = \frac{5}{2} \cdot 13$

Rewrite the expression.

$x = \frac{5}{2} \cdot 13$

Simplify the right side.

Multiply $\frac{5}{2} \cdot 13$ .

Combine $\frac{5}{2}$ and $13$ .

$x = \frac{5 \cdot 13}{2}$

Multiply $5$ by $13$ .

$x = \frac{65}{2}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{65}{2}$

Decimal Form:

$x = 32.5$

Mixed Number Form:

$x = 32 \frac{1}{2}$