Solve the following linear equation for a. Then check your answer. Show all your steps for solving and checking.

5x + 8 + x = 32

(4 points)

1 answer

To solve the equation, we need to simplify both sides and isolate the variable a.

Given equation: 5x + 8 + x = 32

Combining like terms, we add the coefficients of x:
6x + 8 = 32

Next, we want to isolate the variable x. To do this, we will subtract 8 from both sides of the equation:
6x + 8 - 8 = 32 - 8
6x = 24

Dividing both sides by the coefficient of x, 6, we get:
6x/6 = 24/6
x = 4

Therefore, the solution to the equation is x = 4.

To check if x = 4 is the correct solution, we substitute this value back into the original equation:

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

The left side of the equation equals the right side, so x = 4 is the correct solution.