Solve for x -x/6=3

$- \frac{x}{6} = 3$

Step 1

Multiply both sides of the equation by $- 6$ .

$- 6 (- \frac{x}{6}) = - 6 \cdot 3$

Step 2

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 6 (- \frac{x}{6})$ .

Cancel the common factor of $6$ .

Move the leading negative in $- \frac{x}{6}$ into the numerator.

$- 6 \frac{- x}{6} = - 6 \cdot 3$

Factor $6$ out of $- 6$ .

$6 (- 1) \frac{- x}{6} = - 6 \cdot 3$

Cancel the common factor.

$6 \cdot - 1 \frac{- x}{6} = - 6 \cdot 3$

Rewrite the expression.

$- - x = - 6 \cdot 3$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 x = - 6 \cdot 3$

Multiply $x$ by $1$ .

$x = - 6 \cdot 3$

Simplify the right side.

Multiply $- 6$ by $3$ .

$x = - 18$