Solve for X 4X-1+9=9X-22

$4 X - 1 + 9 = 9 X - 22$

Step 1

Add $- 1$ and $9$ .

$4 X + 8 = 9 X - 22$

Step 2

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

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

$4 X + 8 - 9 X = - 22$

Subtract $9 X$ from $4 X$ .

$- 5 X + 8 = - 22$

Step 3

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

Subtract $8$ from both sides of the equation.

$- 5 X = - 22 - 8$

Subtract $8$ from $- 22$ .

$- 5 X = - 30$

Step 4

Divide each term in $- 5 X = - 30$ by $- 5$ and simplify.

Divide each term in $- 5 X = - 30$ by $- 5$ .

$\frac{- 5 X}{- 5} = \frac{- 30}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 X}{- 5} = \frac{- 30}{- 5}$

Divide $X$ by $1$ .

$X = \frac{- 30}{- 5}$

Simplify the right side.

Divide $- 30$ by $- 5$ .

$X = 6$