Solve: 5(2x -- 4) = 30

To solve the equation 5(2x - 4) = 30, you start by distributing the 5 on the left side. This means you multiply 5 by both terms inside the parentheses:

5 * 2x - 5 * 4 = 30, which simplifies to 10x - 20 = 30.

Next, you want to isolate the term with x on one side of the equation. You can do this by adding 20 to both sides:

10x - 20 + 20 = 30 + 20, leading to 10x = 50.

Now, to solve for x, divide both sides by 10:

10x / 10 = 50 / 10, resulting in x = 5.

However, to double-check the result, we can substitute x = 5 back into the original equation:

5(2(5) - 4) = 30 becomes 5(10 - 4) = 30, which simplifies to 5(6) = 30 and confirms that our solution is consistent.

Thus, the correct answer to the equation is indeed 5. The provided answer of 5.2 does not satisfy the original equation,