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

To solve the equation 5x+8+x=32, we can combine like terms:

5x + x + 8 = 32

6x + 8 = 32

Next, we want to get rid of the 8 on the left side of the equation. To do this, we subtract 8 from both sides:

6x + 8 - 8 = 32 - 8

6x = 24

Now, we want to isolate x. To do this, we divide both sides by 6:

(6x)/6 = 24/6

x = 4

To check our answer, we substitute x = 4 back into the original equation and see if it holds true:

5(4) + 8 + 4 = 32

20 + 8 + 4 = 32

32 = 32

Since the equation is true when x = 4, our answer is correct.