Solve for x 3x-5+2x=8x-14

$3 x - 5 + 2 x = 8 x - 14$

Step 1

Add $3 x$ and $2 x$ .

$5 x - 5 = 8 x - 14$

Step 2

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

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

$5 x - 5 - 8 x = - 14$

Subtract $8 x$ from $5 x$ .

$- 3 x - 5 = - 14$

Step 3

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

Add $5$ to both sides of the equation.

$- 3 x = - 14 + 5$

Add $- 14$ and $5$ .

$- 3 x = - 9$

Step 4

Divide each term in $- 3 x = - 9$ by $- 3$ and simplify.

Divide each term in $- 3 x = - 9$ by $- 3$ .

$\frac{- 3 x}{- 3} = \frac{- 9}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 x}{- 3} = \frac{- 9}{- 3}$

Divide $x$ by $1$ .

$x = \frac{- 9}{- 3}$

Simplify the right side.

Divide $- 9$ by $- 3$ .

$x = 3$