Pre-Algebra Examples

$3 x + 15 - 9 = 2 (x + 2)$

Step 1

Subtract $9$ from $15$ .

$3 x + 6 = 2 (x + 2)$

Step 2

Simplify $2 (x + 2)$ .

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Step 2.1

Apply the distributive property.

$3 x + 6 = 2 x + 2 \cdot 2$

Step 2.2

Multiply $2$ by $2$ .

$3 x + 6 = 2 x + 4$

Step 3

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

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Step 3.1

Subtract $2 x$ from both sides of the equation.

$3 x + 6 - 2 x = 4$

Step 3.2

Subtract $2 x$ from $3 x$ .

$x + 6 = 4$

Step 4

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

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Step 4.1

Subtract $6$ from both sides of the equation.

$x = 4 - 6$

Step 4.2

Subtract $6$ from $4$ .

$x = - 2$