Evaluate Using the Given Value 5-x=12x+4

$5 - x = 12 x + 4$

Step 1

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

Subtract $12 x$ from both sides of the equation.

$5 - x - 12 x = 4$

Subtract $12 x$ from $- x$ .

$5 - 13 x = 4$

Step 2

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

Subtract $5$ from both sides of the equation.

$- 13 x = 4 - 5$

Subtract $5$ from $4$ .

$- 13 x = - 1$

Step 3

Divide each term in $- 13 x = - 1$ by $- 13$ and simplify.

Divide each term in $- 13 x = - 1$ by $- 13$ .

$\frac{- 13 x}{- 13} = \frac{- 1}{- 13}$

Simplify the left side.

Cancel the common factor of $- 13$ .

Cancel the common factor.

$\frac{- 13 x}{- 13} = \frac{- 1}{- 13}$

Divide $x$ by $1$ .

$x = \frac{- 1}{- 13}$

Simplify the right side.

Dividing two negative values results in a positive value.

$x = \frac{1}{13}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{13}$

Decimal Form:

$x = 0.\overline{076923}$