Question

Solve the following linear equation for x. Then check your answer. Show all your steps for solving and checking.

5x+8+x=32
(4 points)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve for x, first combine like terms on the left side of the equation:

5x + 8 + x = 32
6x + 8 = 32

Next, isolate the variable x by subtracting 8 from both sides of the equation:

6x + 8 - 8 = 32 - 8
6x = 24

Now, divide both sides by 6 to solve for x:

6x/6 = 24/6
x = 4

To check the solution, substitute x = 4 back into the original equation:

5(4) + 8 + 4 = 32
20 + 8 + 4 = 32
32 = 32

Since the equation is true when x = 4, the solution is correct. Therefore, x = 4 is the correct solution to the equation.