Solve for x -4x+7=11

$- 4 x + 7 = 11$

Step 1

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

Subtract $7$ from both sides of the equation.

$- 4 x = 11 - 7$

Subtract $7$ from $11$ .

$- 4 x = 4$

Step 2

Divide each term in $- 4 x = 4$ by $- 4$ and simplify.

Divide each term in $- 4 x = 4$ by $- 4$ .

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

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Divide $4$ by $- 4$ .

$x = - 1$