Solve for x 14+3x=2+5x+4

$14 + 3 x = 2 + 5 x + 4$

Add $2$ and $4$ .

$14 + 3 x = 5 x + 6$

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

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

$14 + 3 x - 5 x = 6$

Subtract $5 x$ from $3 x$ .

$14 - 2 x = 6$

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

Subtract $14$ from both sides of the equation.

$- 2 x = 6 - 14$

Subtract $14$ from $6$ .

$- 2 x = - 8$

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 $- 2$ .

$x = 4$