Solve for x 7(5x+9)=12-(x+9)

$7 (5 x + 9) = 12 - (x + 9)$

Step 1

Simplify $7 (5 x + 9)$ .

Rewrite.

$0 + 0 + 7 (5 x + 9) = 12 - (x + 9)$

Simplify by adding zeros.

$7 (5 x + 9) = 12 - (x + 9)$

Apply the distributive property.

$7 (5 x) + 7 \cdot 9 = 12 - (x + 9)$

Multiply.

Multiply $5$ by $7$ .

$35 x + 7 \cdot 9 = 12 - (x + 9)$

Multiply $7$ by $9$ .

$35 x + 63 = 12 - (x + 9)$

Step 2

Simplify $12 - (x + 9)$ .

Simplify each term.

Apply the distributive property.

$35 x + 63 = 12 - x - 1 \cdot 9$

Multiply $- 1$ by $9$ .

$35 x + 63 = 12 - x - 9$

Subtract $9$ from $12$ .

$35 x + 63 = - x + 3$

Step 3

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

Add $x$ to both sides of the equation.

$35 x + 63 + x = 3$

Add $35 x$ and $x$ .

$36 x + 63 = 3$

Step 4

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

Subtract $63$ from both sides of the equation.

$36 x = 3 - 63$

Subtract $63$ from $3$ .

$36 x = - 60$

Step 5

Divide each term in $36 x = - 60$ by $36$ and simplify.

Divide each term in $36 x = - 60$ by $36$ .

$\frac{36 x}{36} = \frac{- 60}{36}$

Simplify the left side.

Cancel the common factor of $36$ .

Cancel the common factor.

$\frac{36 x}{36} = \frac{- 60}{36}$

Divide $x$ by $1$ .

$x = \frac{- 60}{36}$

Simplify the right side.

Cancel the common factor of $- 60$ and $36$ .

Factor $12$ out of $- 60$ .

$x = \frac{12 (- 5)}{36}$

Cancel the common factors.

Factor $12$ out of $36$ .

$x = \frac{12 \cdot - 5}{12 \cdot 3}$

Cancel the common factor.

$x = \frac{12 \cdot - 5}{12 \cdot 3}$

Rewrite the expression.

$x = \frac{- 5}{3}$

Move the negative in front of the fraction.

$x = - \frac{5}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{5}{3}$

Decimal Form:

$x = - 1.\overline{6}$

Mixed Number Form:

$x = - 1 \frac{2}{3}$

Solve for x 7(5x+9)=12-(x+9)

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