Solve the following linear equation for x . Then check your answer. Show all your steps for solving and checking. 5x+8+x=32 explain to me in 2-4 sentences

To solve the linear equation, we combine like terms on the left side of the equation:

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

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

6x = 24

Finally, we solve for x by dividing both sides by 6:

x = 24/6
x = 4

To check if our solution is correct, we substitute the value of x into the original equation:

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

Since both sides are equal, our solution x = 4 is verified as correct.