Question

Solve for x.
8 (2x + 3) = 40

Answer 1

Can you explain a bit better?

Answer 2

First, distribute the 8 to the terms inside the parentheses:

16x + 24 = 40

Next, subtract 24 from both sides of the equation:

16x = 16

Finally, divide both sides by 16:

x = 1

Answer 3

Of course! Let's go through the steps again in more detail.

The original equation is 8 (2x + 3) = 40.

First, we distribute the 8 to the terms inside the parentheses by multiplying each term inside the parentheses by 8:

8 * 2x + 8 * 3 = 40

This simplifies to:
16x + 24 = 40

Next, we want to isolate the variable x on one side of the equation. To do this, we need to get rid of the 24 on the left side of the equation. We can do this by subtracting 24 from both sides:

16x + 24 - 24 = 40 - 24

The 24 on the left side cancels out, leaving us with:

16x = 16

Finally, we solve for x by dividing both sides of the equation by 16:

16x / 16 = 16 / 16

This simplifies to:

x = 1

So the solution to the equation is x = 1.