Solve for x 47=-x/11+43

$47 = - \frac{x}{11} + 43$

Step 1

Rewrite the equation as $- \frac{x}{11} + 43 = 47$ .

$- \frac{x}{11} + 43 = 47$

Step 2

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

Subtract $43$ from both sides of the equation.

$- \frac{x}{11} = 47 - 43$

Subtract $43$ from $47$ .

$- \frac{x}{11} = 4$

Step 3

Multiply both sides of the equation by $- 11$ .

$- 11 (- \frac{x}{11}) = - 11 \cdot 4$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 11 (- \frac{x}{11})$ .

Cancel the common factor of $11$ .

Move the leading negative in $- \frac{x}{11}$ into the numerator.

$- 11 \frac{- x}{11} = - 11 \cdot 4$

Factor $11$ out of $- 11$ .

$11 (- 1) \frac{- x}{11} = - 11 \cdot 4$

Cancel the common factor.

$11 \cdot - 1 \frac{- x}{11} = - 11 \cdot 4$

Rewrite the expression.

$- - x = - 11 \cdot 4$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 x = - 11 \cdot 4$

Multiply $x$ by $1$ .

$x = - 11 \cdot 4$

Simplify the right side.

Multiply $- 11$ by $4$ .

$x = - 44$