Solve for x 4x-10=x+3x-2x

$4 x - 10 = x + 3 x - 2 x$

Step 1

Since $x$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$x + 3 x - 2 x = 4 x - 10$

Step 2

Simplify $x + 3 x - 2 x$ .

Add $x$ and $3 x$ .

$4 x - 2 x = 4 x - 10$

Subtract $2 x$ from $4 x$ .

$2 x = 4 x - 10$

Step 3

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

Subtract $4 x$ from both sides of the equation.

$2 x - 4 x = - 10$

Subtract $4 x$ from $2 x$ .

$- 2 x = - 10$

Step 4

Divide each term in $- 2 x = - 10$ by $- 2$ and simplify.

Divide each term in $- 2 x = - 10$ by $- 2$ .

$\frac{- 2 x}{- 2} = \frac{- 10}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 x}{- 2} = \frac{- 10}{- 2}$

Divide $x$ by $1$ .

$x = \frac{- 10}{- 2}$

Simplify the right side.

Divide $- 10$ by $- 2$ .

$x = 5$