Solve for x 7(5x+9)=18-(x+9)

$7 (5 x + 9) = 18 - (x + 9)$

Step 1

Simplify $7 (5 x + 9)$ .

Rewrite.

$0 + 0 + 7 (5 x + 9) = 18 - (x + 9)$

Simplify by adding zeros.

$7 (5 x + 9) = 18 - (x + 9)$

Apply the distributive property.

$7 (5 x) + 7 \cdot 9 = 18 - (x + 9)$

Multiply.

Multiply $5$ by $7$ .

$35 x + 7 \cdot 9 = 18 - (x + 9)$

Multiply $7$ by $9$ .

$35 x + 63 = 18 - (x + 9)$

Step 2

Simplify $18 - (x + 9)$ .

Simplify each term.

Apply the distributive property.

$35 x + 63 = 18 - x - 1 \cdot 9$

Multiply $- 1$ by $9$ .

$35 x + 63 = 18 - x - 9$

Subtract $9$ from $18$ .

$35 x + 63 = - x + 9$

Step 3

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

Add $x$ to both sides of the equation.

$35 x + 63 + x = 9$

Add $35 x$ and $x$ .

$36 x + 63 = 9$

Step 4

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

Subtract $63$ from both sides of the equation.

$36 x = 9 - 63$

Subtract $63$ from $9$ .

$36 x = - 54$

Step 5

Divide each term in $36 x = - 54$ by $36$ and simplify.

Divide each term in $36 x = - 54$ by $36$ .

$\frac{36 x}{36} = \frac{- 54}{36}$

Simplify the left side.

Cancel the common factor of $36$ .

Cancel the common factor.

$\frac{36 x}{36} = \frac{- 54}{36}$

Divide $x$ by $1$ .

$x = \frac{- 54}{36}$

Simplify the right side.

Cancel the common factor of $- 54$ and $36$ .

Factor $18$ out of $- 54$ .

$x = \frac{18 (- 3)}{36}$

Cancel the common factors.

Factor $18$ out of $36$ .

$x = \frac{18 \cdot - 3}{18 \cdot 2}$

Cancel the common factor.

$x = \frac{18 \cdot - 3}{18 \cdot 2}$

Rewrite the expression.

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

Move the negative in front of the fraction.

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

Step 6

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = - 1.5$

Mixed Number Form:

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

Solve for x 7(5x+9)=18-(x+9)

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