Solve for x 4x-2=-6

$4 x - 2 = - 6$

Step 1

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

Add $2$ to both sides of the equation.

$4 x = - 6 + 2$

Add $- 6$ and $2$ .

$4 x = - 4$

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 $4$ .

$x = - 1$