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

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

• A. 6
• B. 5.2
• C. 4.8
• D. 4

Answer: (B)

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,

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,