Question

Here is a diagram and its corresponding equation. Find the solution to the equation.

Answer 1

4(x + 7) = 38

Since there is no operation sign between the 4 and parenthesis, it makes it an automatic multiplication problem.

You would use distributive property to multiply each which should leave your equation looking like this afterwards:

4x + 28 = 38
(4 times x and 4 times 7)

You would then solve it like a two step equation,

1. +28 - 28 = 0
2. 38 - 28 = 10

4x = 10

10 divided by 4 = 2.5

x = 2.5

We can recheck our work by substituting in the value of x.

4(2.5 + 7) = 38

10 + 28 = 38

When we substituted in the value, it gave us the correct inequality.

Therefore,
x = 2.5

Answer 2

Answer:

x = 2.5

Step-by-step explanation:

Hello!
Let's solve the equation together :)

Solve:

• 4(x + 7) = 38      => Over here, we want to multiply x and 7 by 4, or distribute 4 to both numbers inside the parenthesis.

• 4(x) + 4(7) = 38   =>See how I split the multiplication apart? That's called the Distributive Property

• 4x + 28 = 38      => Simplify. Now subtract 28 from both sides

• 4x = 10               =>Now that we multiply x by 4, we divide both sides to isolate x

• x = 10/4             => Simplify

• x = 2.5

Your answer is x = 2.5

Check:

Plug in 2.5 into our equation

• 4(x + 7) = 38
• 4(2.5 +7) = 38
• 4(2.5) + 4(7) = 38
• 10 + 28 = 38
• 38 = 38

Both sides match so our answer is correct.