Solve the following linear equation for z. Then check your answer. Show all your steps for solving and checking.
5x + 8 + x = 32
To solve for z, we first simplify the equation by combining like terms:
5x + 8 + x = 32
6x + 8 = 32
Next, we isolate x by moving the constant term on the left side to the right side:
6x = 32 - 8
6x = 24
Then, we solve for x by dividing both sides by 6:
x = 24/6
x = 4
Therefore, the value of x is 4.
To check our answer, we substitute x back into the original equation and solve:
5(4) + 8 + 4 = 32
20 + 8 + 4 = 32
32 = 32
Since both sides of the equation are equal, our solution of x = 4 is correct.