Solve for x 9(3x+9)=14-(x+3)

$9 (3 x + 9) = 14 - (x + 3)$

Step 1

Simplify $9 (3 x + 9)$ .

Rewrite.

$0 + 0 + 9 (3 x + 9) = 14 - (x + 3)$

Simplify by adding zeros.

$9 (3 x + 9) = 14 - (x + 3)$

Apply the distributive property.

$9 (3 x) + 9 \cdot 9 = 14 - (x + 3)$

Multiply.

Multiply $3$ by $9$ .

$27 x + 9 \cdot 9 = 14 - (x + 3)$

Multiply $9$ by $9$ .

$27 x + 81 = 14 - (x + 3)$

Step 2

Simplify $14 - (x + 3)$ .

Simplify each term.

Apply the distributive property.

$27 x + 81 = 14 - x - 1 \cdot 3$

Multiply $- 1$ by $3$ .

$27 x + 81 = 14 - x - 3$

Subtract $3$ from $14$ .

$27 x + 81 = - x + 11$

Step 3

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

Add $x$ to both sides of the equation.

$27 x + 81 + x = 11$

Add $27 x$ and $x$ .

$28 x + 81 = 11$

Step 4

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

Subtract $81$ from both sides of the equation.

$28 x = 11 - 81$

Subtract $81$ from $11$ .

$28 x = - 70$

Step 5

Divide each term in $28 x = - 70$ by $28$ and simplify.

Divide each term in $28 x = - 70$ by $28$ .

$\frac{28 x}{28} = \frac{- 70}{28}$

Simplify the left side.

Cancel the common factor of $28$ .

Cancel the common factor.

$\frac{28 x}{28} = \frac{- 70}{28}$

Divide $x$ by $1$ .

$x = \frac{- 70}{28}$

Simplify the right side.

Cancel the common factor of $- 70$ and $28$ .

Factor $14$ out of $- 70$ .

$x = \frac{14 (- 5)}{28}$

Cancel the common factors.

Factor $14$ out of $28$ .

$x = \frac{14 \cdot - 5}{14 \cdot 2}$

Cancel the common factor.

$x = \frac{14 \cdot - 5}{14 \cdot 2}$

Rewrite the expression.

$x = \frac{- 5}{2}$

Move the negative in front of the fraction.

$x = - \frac{5}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{5}{2}$

Decimal Form:

$x = - 2.5$

Mixed Number Form:

$x = - 2 \frac{1}{2}$

Solve for x 9(3x+9)=14-(x+3)

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