Solve for x 14+5x=3(-x+3)-11

$14 + 5 x = 3 (- x + 3) - 11$

Step 1

Simplify $3 (- x + 3) - 11$ .

Simplify each term.

Apply the distributive property.

$14 + 5 x = 3 (- x) + 3 \cdot 3 - 11$

Multiply $- 1$ by $3$ .

$14 + 5 x = - 3 x + 3 \cdot 3 - 11$

Multiply $3$ by $3$ .

$14 + 5 x = - 3 x + 9 - 11$

Subtract $11$ from $9$ .

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

Step 2

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

Add $3 x$ to both sides of the equation.

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

Add $5 x$ and $3 x$ .

$14 + 8 x = - 2$

Step 3

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

Subtract $14$ from both sides of the equation.

$8 x = - 2 - 14$

Subtract $14$ from $- 2$ .

$8 x = - 16$

Step 4

Divide each term in $8 x = - 16$ by $8$ and simplify.

Divide each term in $8 x = - 16$ by $8$ .

$\frac{8 x}{8} = \frac{- 16}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 x}{8} = \frac{- 16}{8}$

Divide $x$ by $1$ .

$x = \frac{- 16}{8}$

Simplify the right side.

Divide $- 16$ by $8$ .

$x = - 2$