Solve the following linear equation for x . Then check your answer. Show all your steps for solving and checking.
5x+8+x=32
To solve the equation, we first combine like terms on the left side:
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 our answer, we substitute x = 4 back into the original equation:
5(4) + 8 + 4 = 32
20 + 8 + 4 = 32
32 = 32
Since the left side equals the right side, our solution x = 4 is correct.