Solve for x x-3+1=3x-10

$x - 3 + 1 = 3 x - 10$

Step 1

Add $- 3$ and $1$ .

$x - 2 = 3 x - 10$

Step 2

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

Subtract $3 x$ from both sides of the equation.

$x - 2 - 3 x = - 10$

Subtract $3 x$ from $x$ .

$- 2 x - 2 = - 10$

Step 3

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

Add $2$ to both sides of the equation.

$- 2 x = - 10 + 2$

Add $- 10$ and $2$ .

$- 2 x = - 8$

Step 4

Divide each term in $- 2 x = - 8$ by $- 2$ and simplify.

Divide each term in $- 2 x = - 8$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{- 8}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{- 8}{- 2}$

Divide $x$ by $1$ .

$x = \frac{- 8}{- 2}$

Simplify the right side.

Divide $- 8$ by $- 2$ .

$x = 4$