Solve for x 4x-5=11x+16

$4 x - 5 = 11 x + 16$

Step 1

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

Subtract $11 x$ from both sides of the equation.

$4 x - 5 - 11 x = 16$

Subtract $11 x$ from $4 x$ .

$- 7 x - 5 = 16$

Step 2

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

Add $5$ to both sides of the equation.

$- 7 x = 16 + 5$

Add $16$ and $5$ .

$- 7 x = 21$

Step 3

Divide each term in $- 7 x = 21$ by $- 7$ and simplify.

Divide each term in $- 7 x = 21$ by $- 7$ .

$\frac{- 7 x}{- 7} = \frac{21}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 x}{- 7} = \frac{21}{- 7}$

Divide $x$ by $1$ .

$x = \frac{21}{- 7}$

Simplify the right side.

Divide $21$ by $- 7$ .

$x = - 3$