Algebra Examples

$4 n + 6 - 2 n = 2 (n + 3)$

Step 1

Subtract $2 (n + 3)$ from both sides of the equation.

$4 n + 6 - 2 n - 2 (n + 3) = 0$

Step 2

Simplify $4 n + 6 - 2 n - 2 (n + 3)$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$4 n + 6 - 2 n - 2 n - 2 \cdot 3 = 0$

Step 2.1.2

Multiply $- 2$ by $3$ .

$4 n + 6 - 2 n - 2 n - 6 = 0$

Step 2.2

Combine the opposite terms in $4 n + 6 - 2 n - 2 n - 6$ .

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Step 2.2.1

Subtract $6$ from $6$ .

$4 n - 2 n - 2 n + 0 = 0$

Step 2.2.2

Add $4 n - 2 n - 2 n$ and $0$ .

$4 n - 2 n - 2 n = 0$

Step 2.3

Subtract $2 n$ from $4 n$ .

$2 n - 2 n = 0$

Step 2.4

Subtract $2 n$ from $2 n$ .

$0 = 0$

Step 3

Since $0 = 0$ , the equation will always be true.

Always true