Solve for x 71-5x=9x-13

$71 - 5 x = 9 x - 13$

Step 1

Move all terms containing $x$ to the left side of the equation.

Subtract $9 x$ from both sides of the equation.

$71 - 5 x - 9 x = - 13$

Subtract $9 x$ from $- 5 x$ .

$71 - 14 x = - 13$

Step 2

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

Subtract $71$ from both sides of the equation.

$- 14 x = - 13 - 71$

Subtract $71$ from $- 13$ .

$- 14 x = - 84$

Step 3

Divide each term in $- 14 x = - 84$ by $- 14$ and simplify.

Divide each term in $- 14 x = - 84$ by $- 14$ .

$\frac{- 14 x}{- 14} = \frac{- 84}{- 14}$

Simplify the left side.

Cancel the common factor of $- 14$ .

Cancel the common factor.

$\frac{- 14 x}{- 14} = \frac{- 84}{- 14}$

Divide $x$ by $1$ .

$x = \frac{- 84}{- 14}$

Simplify the right side.

Divide $- 84$ by $- 14$ .

$x = 6$