Solve for x h(-18)=17+x/6

$h (- 18) = 17 + \frac{x}{6}$

Rewrite the equation as $17 + \frac{x}{6} = h (- 18)$ .

$17 + \frac{x}{6} = h (- 18)$

Move $- 18$ to the left of $h$ .

$17 + \frac{x}{6} = - 18 h$

Subtract $17$ from both sides of the equation.

$\frac{x}{6} = - 18 h - 17$

Multiply both sides of the equation by $6$ .

$6 \frac{x}{6} = 6 (- 18 h - 17)$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$6 \frac{x}{6} = 6 (- 18 h - 17)$

Rewrite the expression.

$x = 6 (- 18 h - 17)$

Simplify the right side.

Simplify $6 (- 18 h - 17)$ .

Apply the distributive property.

$x = 6 (- 18 h) + 6 \cdot - 17$

Multiply.

Multiply $- 18$ by $6$ .

$x = - 108 h + 6 \cdot - 17$

Multiply $6$ by $- 17$ .

$x = - 108 h - 102$