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)

5x + 8 + x = 32

Combining like terms:
6x + 8 = 32
Subtract 8 from both sides:
6x = 24
Divide by 6 on both sides:
x = 4

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

Therefore, the solution x = 4 is correct.

can you please explain another way

Sure! Another way to solve the linear equation 5x + 8 + x = 32 is to first combine the x terms on the left side of the equation.

5x + 8 + x = 32
(5 + 1)x + 8 = 32
6x + 8 = 32

Next, isolate the variable x by moving the constant term 8 to the other side of the equation by subtracting 8 from both sides.

6x = 32 - 8
6x = 24

Finally, solve for x by dividing both sides by 6.

x = 24 / 6
x = 4

Therefore, the solution x = 4 is correct.