Evaluate 3x+15=3(x+5)

$3 x + 15 = 3 (x + 5)$

Step 1

Simplify $3 (x + 5)$ .

Rewrite.

$3 x + 15 = 0 + 0 + 3 (x + 5)$

Simplify by adding zeros.

$3 x + 15 = 3 (x + 5)$

Apply the distributive property.

$3 x + 15 = 3 x + 3 \cdot 5$

Multiply $3$ by $5$ .

$3 x + 15 = 3 x + 15$

Step 2

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

Subtract $3 x$ from both sides of the equation.

$3 x + 15 - 3 x = 15$

Combine the opposite terms in $3 x + 15 - 3 x$ .

Subtract $3 x$ from $3 x$ .

$0 + 15 = 15$

Add $0$ and $15$ .

$15 = 15$

Step 3

Since $15 = 15$ , the equation will always be true.

Always true

Step 4

The result can be shown in multiple forms.

Always true

Interval Notation:

$(- \infty, \infty)$