solve the following linear equation for x. the check your answer. show all your steps for solving and checking.
5x + 8 + x = 32
First step is to combine like terms:
5x + 8 + x = 32
6x + 8 = 32
Next, isolate the variable x by subtracting 8 from both sides:
6x + 8 - 8 = 32 - 8
6x = 24
Divide both sides by 6 to solve for x:
6x/6 = 24/6
x = 4
To check the answer, 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, we have solved the equation correctly. The solution to the equation is x = 4.