Solving Linear Equations Unit Test 15 of 1515 of 15 Items Question Solve the following linear equation for x . Then check your answer. Show all your steps for solving and checking. 5x+8+x=32 (4 points)
To solve the equation 5x + 8 + x = 32, we first combine like terms:
5x + x + 8 = 32
6x + 8 = 32
Next, we isolate the variable x by subtracting 8 from both sides of the equation:
6x + 8 - 8 = 32 - 8
6x = 24
Now, we divide by 6 on both sides to solve for x:
6x/6 = 24/6
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, our solution x = 4 is correct.