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

Question

5x+8+x=32

(4 points)

Answer 1

To solve the equation 5x + 8 + x = 32, first combine the like terms on the left side:

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

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

6x = 32 - 8
6x = 24

To solve for x, divide both sides by 6:

x = 24 / 6
x = 4

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

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

Since both sides are equal, the solution x = 4 is correct.

Answer 2

can you shorten it

Answer 3

Sure!

5x + x + 8 = 32
6x + 8 = 32
6x = 24
x = 24 / 6
x = 4

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

Therefore, the solution x = 4 is correct.