Solving Linear Equations Unit Test 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 for x, we first need to combine like terms on the left side of the equation.
5x + 8 + x = 32
Combining like terms:
6x + 8 = 32
Next, to solve for x, we need to isolate x by getting rid of the constant term on the left side. We can do this by subtracting 8 from both sides of the equation:
6x + 8 - 8 = 32 - 8
6x = 24
Now we need to solve for x by dividing 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 our answer, 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.