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

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

Step 1

Add $- 2 x$ and $4 x$ .

$2 x = 3 x + 10$

Step 2

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

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

$2 x - 3 x = 10$

Subtract $3 x$ from $2 x$ .

$- x = 10$

Step 3

Divide each term in $- x = 10$ by $- 1$ and simplify.

Divide each term in $- x = 10$ by $- 1$ .

$\frac{- x}{- 1} = \frac{10}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{10}{- 1}$

Divide $x$ by $1$ .

$x = \frac{10}{- 1}$

Simplify the right side.

Divide $10$ by $- 1$ .

$x = - 10$