Question

How many solutions exist for the equation
3(x+10)+6=3(x+12)

Answer 1

Infinite solutions

Explanation:

We can determine how many solutions the equation has by simplifying:

Step 1: Distribute the 3s on the left-hand and right-hand sides:

(3 * x) + (3 * 10) + 6 = (3 * x) + (3 * 12)

3x + 30 + 6 = 3x + 36

Step 2: Combine like-terms on the left-hand side:

3x + 36 = 3x + 36

• When you have the same expression or terms on both sides of an equation (e.g., 1 = 1 or 2x = 2x), this means that the equation has infinite solutions.

Therefore, any value of x will make the equation true.