To solve the linear equation 5x + 8 + x = 32 for x, we first need to combine like terms:
5x + x + 8 = 32
6x + 8 = 32
Next, we isolate the variable x by subtracting 8 from both sides:
6x + 8 - 8 = 32 - 8
6x = 24
Now, we divide both sides by 6 to solve for x:
6x / 6 = 24 / 6
x = 4
To check our answer:
5(4) + 8 + 4 = 32
20 + 8 + 4 = 32
32 = 32
Therefore, the solution x = 4 is correct.