Solve for x 5x-(12+x)=-13

$5 x - (12 + x) = - 13$

Step 1

Simplify $5 x - (12 + x)$ .

Simplify each term.

Apply the distributive property.

$5 x - 1 \cdot 12 - x = - 13$

Multiply $- 1$ by $12$ .

$5 x - 12 - x = - 13$

Subtract $x$ from $5 x$ .

$4 x - 12 = - 13$

Step 2

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

Add $12$ to both sides of the equation.

$4 x = - 13 + 12$

Add $- 13$ and $12$ .

$4 x = - 1$

Step 3

Divide each term in $4 x = - 1$ by $4$ and simplify.

Divide each term in $4 x = - 1$ by $4$ .

$\frac{4 x}{4} = \frac{- 1}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 x}{4} = \frac{- 1}{4}$

Divide $x$ by $1$ .

$x = \frac{- 1}{4}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{1}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{1}{4}$

Decimal Form:

$x = - 0.25$