Trigonometry Examples

$3 x + 7 = 3 (x + 2) + 1$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$3 x + 7 = 3 x + 3 \cdot 2 + 1$

Step 1.2

Multiply $3$ by $2$ .

$3 x + 7 = 3 x + 6 + 1$

Step 2

Add $6$ and $1$ .

$3 x + 7 = 3 x + 7$

Step 3

Since the two sides have been shown to be equivalent, the equation is an identity.

$3 x + 7 = 3 (x + 2) + 1$ is an identity.