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 5x + 8 + x = 32, we can first combine like terms on the left side of the equation:
5x + x + 8 = 32
6x + 8 = 32
Next, we need to isolate the variable x by subtracting 8 from both sides of the equation:
6x + 8 - 8 = 32 - 8
6x = 24
To find x, we will divide both sides of the equation by 6:
6x/6 = 24/6
x = 4
Therefore, the solution to the equation 5x + 8 + x = 32 is x = 4.
To check the solution, we substitute x = 4 back into the original equation:
5(4) + 8 + 4 = 32
20 + 8 + 4 = 32
32 = 32
Since both sides of the equation are equal, the solution x = 4 is correct.