Solve for x 0.2x-8=-2-x

$0.2 x - 8 = - 2 - x$

Step 1

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

Add $x$ to both sides of the equation.

$0.2 x - 8 + x = - 2$

Add $0.2 x$ and $x$ .

$1.2 x - 8 = - 2$

Step 2

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

Add $8$ to both sides of the equation.

$1.2 x = - 2 + 8$

Add $- 2$ and $8$ .

$1.2 x = 6$

Step 3

Divide each term in $1.2 x = 6$ by $1.2$ and simplify.

Divide each term in $1.2 x = 6$ by $1.2$ .

$\frac{1.2 x}{1.2} = \frac{6}{1.2}$

Simplify the left side.

Cancel the common factor of $1.2$ .

Cancel the common factor.

$\frac{1.2 x}{1.2} = \frac{6}{1.2}$

Divide $x$ by $1$ .

$x = \frac{6}{1.2}$

Simplify the right side.

Divide $6$ by $1.2$ .

$x = 5$