Question

Solve using the addition property of equality.​ Don't forget to check.
xplus6equals47
.
.
.
Question content area right
Part 1
The solution is xequals
  
enter your response here.
​(Type an integer or a simplified​ fraction.)

Answer 1

To solve the equation \( x + 6 = 47 \) using the addition property of equality, we will isolate \( x \) by subtracting 6 from both sides of the equation.

1. Start with the equation:
\[
x + 6 = 47
\]

2. Subtract 6 from both sides:
\[
x + 6 - 6 = 47 - 6
\]
This simplifies to:
\[
x = 41
\]

Now we have found that \( x = 41 \).

**Part 2: Checking the solution**

To check if the solution is correct, we can substitute \( x \) back into the original equation:

1. Substitute \( x = 41 \) into the equation:
\[
41 + 6 = 47
\]

2. Calculate the left side:
\[
41 + 6 = 47
\]

Since both sides of the equation are equal, our solution is confirmed.

The solution is:
\[
x = 41
\]