Solve for X X/-3+11=8

$\frac{X}{- 3} + 11 = 8$

Step 1

Move the negative in front of the fraction.

$- \frac{X}{3} + 11 = 8$

Step 2

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

Subtract $11$ from both sides of the equation.

$- \frac{X}{3} = 8 - 11$

Subtract $11$ from $8$ .

$- \frac{X}{3} = - 3$

Step 3

Multiply both sides of the equation by $- 3$ .

$- 3 (- \frac{X}{3}) = - 3 \cdot - 3$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 3 (- \frac{X}{3})$ .

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{X}{3}$ into the numerator.

$- 3 \frac{- X}{3} = - 3 \cdot - 3$

Factor $3$ out of $- 3$ .

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

Cancel the common factor.

$3 \cdot - 1 \frac{- X}{3} = - 3 \cdot - 3$

Rewrite the expression.

$- - X = - 3 \cdot - 3$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 X = - 3 \cdot - 3$

Multiply $X$ by $1$ .

$X = - 3 \cdot - 3$

Simplify the right side.

Multiply $- 3$ by $- 3$ .

$X = 9$