Pre-Algebra Examples

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

Step 1

Simplify $9 (3 x + 9)$ .

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Step 1.1

Apply the distributive property.

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

Step 1.2

Multiply.

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Step 1.2.1

Multiply $3$ by $9$ .

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

Step 1.2.2

Multiply $9$ by $9$ .

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

Step 2

Simplify $14 - (x + 3)$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

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

Step 2.1.2

Multiply $- 1$ by $3$ .

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

Step 2.2

Subtract $3$ from $14$ .

$27 x + 81 = - x + 11$

Step 3

Graph each side of the equation. The solution is the x-value of the point of intersection.

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

Step 4