Solve for x 5-3x=x+1

$5 - 3 x = x + 1$

Step 1

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

Subtract $x$ from both sides of the equation.

$5 - 3 x - x = 1$

Subtract $x$ from $- 3 x$ .

$5 - 4 x = 1$

Step 2

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

Subtract $5$ from both sides of the equation.

$- 4 x = 1 - 5$

Subtract $5$ from $1$ .

$- 4 x = - 4$

Step 3

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

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

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

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Divide $- 4$ by $- 4$ .

$x = 1$