Solve for x -2(x+7)=9x

$- 2 (x + 7) = 9 x$

Step 1

Simplify $- 2 (x + 7)$ .

Rewrite.

$0 + 0 - 2 (x + 7) = 9 x$

Simplify by adding zeros.

$- 2 (x + 7) = 9 x$

Apply the distributive property.

$- 2 x - 2 \cdot 7 = 9 x$

Multiply $- 2$ by $7$ .

$- 2 x - 14 = 9 x$

Step 2

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

Subtract $9 x$ from both sides of the equation.

$- 2 x - 14 - 9 x = 0$

Subtract $9 x$ from $- 2 x$ .

$- 11 x - 14 = 0$

Step 3

Add $14$ to both sides of the equation.

$- 11 x = 14$

Step 4

Divide each term in $- 11 x = 14$ by $- 11$ and simplify.

Divide each term in $- 11 x = 14$ by $- 11$ .

$\frac{- 11 x}{- 11} = \frac{14}{- 11}$

Simplify the left side.

Cancel the common factor of $- 11$ .

Cancel the common factor.

$\frac{- 11 x}{- 11} = \frac{14}{- 11}$

Divide $x$ by $1$ .

$x = \frac{14}{- 11}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{14}{11}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{14}{11}$

Decimal Form:

$x = - 1.\overline{27}$

Mixed Number Form:

$x = - 1 \frac{3}{11}$