Solve for x 9(3x+9)=-(x-3)

$9 (3 x + 9) = - (x - 3)$

Step 1

Simplify $9 (3 x + 9)$ .

Rewrite.

$0 + 0 + 9 (3 x + 9) = - (x - 3)$

Simplify by adding zeros.

$9 (3 x + 9) = - (x - 3)$

Apply the distributive property.

$9 (3 x) + 9 \cdot 9 = - (x - 3)$

Multiply.

Multiply $3$ by $9$ .

$27 x + 9 \cdot 9 = - (x - 3)$

Multiply $9$ by $9$ .

$27 x + 81 = - (x - 3)$

Step 2

Simplify $- (x - 3)$ .

Apply the distributive property.

$27 x + 81 = - x - - 3$

Multiply $- 1$ by $- 3$ .

$27 x + 81 = - x + 3$

Step 3

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

Add $x$ to both sides of the equation.

$27 x + 81 + x = 3$

Add $27 x$ and $x$ .

$28 x + 81 = 3$

Step 4

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

Subtract $81$ from both sides of the equation.

$28 x = 3 - 81$

Subtract $81$ from $3$ .

$28 x = - 78$

Step 5

Divide each term in $28 x = - 78$ by $28$ and simplify.

Divide each term in $28 x = - 78$ by $28$ .

$\frac{28 x}{28} = \frac{- 78}{28}$

Simplify the left side.

Cancel the common factor of $28$ .

Cancel the common factor.

$\frac{28 x}{28} = \frac{- 78}{28}$

Divide $x$ by $1$ .

$x = \frac{- 78}{28}$

Simplify the right side.

Cancel the common factor of $- 78$ and $28$ .

Factor $2$ out of $- 78$ .

$x = \frac{2 (- 39)}{28}$

Cancel the common factors.

Factor $2$ out of $28$ .

$x = \frac{2 \cdot - 39}{2 \cdot 14}$

Cancel the common factor.

$x = \frac{2 \cdot - 39}{2 \cdot 14}$

Rewrite the expression.

$x = \frac{- 39}{14}$

Move the negative in front of the fraction.

$x = - \frac{39}{14}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{39}{14}$

Decimal Form:

$x = - 2.78571428 \dots$

Mixed Number Form:

$x = - 2 \frac{11}{14}$

Solve for x 9(3x+9)=-(x-3)

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