Solve the following linear equation for x . Show all your steps for solving and checking. 5x+8+x=32
To solve the equation 5x + 8 + x = 32, we need to combine like terms and then isolate x.
First, combine the x terms: 5x + x is 6x.
So the equation becomes: 6x + 8 = 32
Next, isolate x by subtracting 8 from both sides:
6x + 8 - 8 = 32 - 8
6x = 24
Finally, divide both sides by 6 to solve for x:
6x/6 = 24/6
x = 4
To check our answer, 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.