Solve for x 5x-14=8x+4

$5 x - 14 = 8 x + 4$

Step 1

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

Subtract $8 x$ from both sides of the equation.

$5 x - 14 - 8 x = 4$

Subtract $8 x$ from $5 x$ .

$- 3 x - 14 = 4$

Step 2

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

Add $14$ to both sides of the equation.

$- 3 x = 4 + 14$

Add $4$ and $14$ .

$- 3 x = 18$

Step 3

Divide each term in $- 3 x = 18$ by $- 3$ and simplify.

Divide each term in $- 3 x = 18$ by $- 3$ .

$\frac{- 3 x}{- 3} = \frac{18}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 x}{- 3} = \frac{18}{- 3}$

Divide $x$ by $1$ .

$x = \frac{18}{- 3}$

Simplify the right side.

Divide $18$ by $- 3$ .

$x = - 6$