Solve for x x+4=5x+2

$x + 4 = 5 x + 2$

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

Subtract $5 x$ from both sides of the equation.

$x + 4 - 5 x = 2$

Subtract $5 x$ from $x$ .

$- 4 x + 4 = 2$

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

Subtract $4$ from both sides of the equation.

$- 4 x = 2 - 4$

Subtract $4$ from $2$ .

$- 4 x = - 2$

Divide each term in $- 4 x = - 2$ by $- 4$ and simplify.

Divide each term in $- 4 x = - 2$ by $- 4$ .

$\frac{- 4 x}{- 4} = \frac{- 2}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 x}{- 4} = \frac{- 2}{- 4}$

Divide $x$ by $1$ .

$x = \frac{- 2}{- 4}$

Simplify the right side.

Cancel the common factor of $- 2$ and $- 4$ .

Factor $- 2$ out of $- 2$ .

$x = \frac{- 2 (1)}{- 4}$

Cancel the common factors.

Factor $- 2$ out of $- 4$ .

$x = \frac{- 2 \cdot 1}{- 2 \cdot 2}$

Cancel the common factor.

$x = \frac{- 2 \cdot 1}{- 2 \cdot 2}$

Rewrite the expression.

$x = \frac{1}{2}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{2}$

Decimal Form:

$x = 0.5$