Question

Write an algebraic proof for the following problem: 3(2x+6) = 60

Answer 1

To solve the algebraic equation '3(2x+6) = 60', we distribute the 3 inside the parentheses, subtract 18 from both sides, and then divide by 6 to isolate x, leading to the solution x = 7.

Step-by-step explanation:

To prove that 3(2x+6) = 60, we need to show that both sides of the equation are equal.

First, start by distributing the 3 to the terms inside the parentheses:

3 * 2x + 3 * 6 = 60

This simplifies to:

6x + 18 = 60

Next, subtract 18 from both sides of the equation:

6x = 42

Finally, divide both sides of the equation by 6 to solve for x:

x = 7