Solve for x 5x-2+x=x-4

$5 x - 2 + x = x - 4$

Step 1

Add $5 x$ and $x$ .

$6 x - 2 = x - 4$

Step 2

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

Subtract $x$ from both sides of the equation.

$6 x - 2 - x = - 4$

Subtract $x$ from $6 x$ .

$5 x - 2 = - 4$

Step 3

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

Add $2$ to both sides of the equation.

$5 x = - 4 + 2$

Add $- 4$ and $2$ .

$5 x = - 2$

Step 4

Divide each term in $5 x = - 2$ by $5$ and simplify.

Divide each term in $5 x = - 2$ by $5$ .

$\frac{5 x}{5} = \frac{- 2}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} = \frac{- 2}{5}$

Divide $x$ by $1$ .

$x = \frac{- 2}{5}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{2}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{2}{5}$

Decimal Form:

$x = - 0.4$