Algebra Examples

$3 n + 2 = 2 (n - 3)$

Step 1

Simplify $2 (n - 3)$ .

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Step 1.1

Rewrite.

$3 n + 2 = 0 + 0 + 2 (n - 3)$

Step 1.2

Simplify by adding zeros.

$3 n + 2 = 2 (n - 3)$

Step 1.3

Apply the distributive property.

$3 n + 2 = 2 n + 2 \cdot - 3$

Step 1.4

Multiply $2$ by $- 3$ .

$3 n + 2 = 2 n - 6$

Step 2

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

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Step 2.1

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

$3 n + 2 - 2 n = - 6$

Step 2.2

Subtract $2 n$ from $3 n$ .

$n + 2 = - 6$

Step 3

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

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Step 3.1

Subtract $2$ from both sides of the equation.

$n = - 6 - 2$

Step 3.2

Subtract $2$ from $- 6$ .

$n = - 8$