Question

For the equation 3x - 22 = 5, select the correct statements from the drop-down menus to correctly complete the proof that x = 4.

A) Subtract 5 from both sides: 3x−22−5=0
B) Simplify the left side: 3x−27=0
C) Add 27 to both sides: 3x=27
D) Divide both sides by 3: x=9

Answer 1

The correct steps to solve the equation 3x - 22 = 5 are to add 22 to both sides to get 3x = 27 and then divide both sides by 3 to find that x = 9.

Step-by-step explanation:

To solve the equation 3x - 22 = 5, we need to isolate the variable x. Here is the step-by-step solution:

1. Add 22 to both sides to move the constant term to the other side of the equation: 3x - 22 + 22 = 5 + 22, which simplifies to 3x = 27.
2. Divide both sides by 3 to solve for x: 3x/3 = 27/3, which simplifies to x = 9.

Therefore, the correct value for x is 9.

Following the given options, the correct steps are:

1. Add 22 to both sides, not subtract 5: 3x - 22 + 22 = 5 + 22
2. Simplify to get: 3x = 27
3. Finally, divide by 3: x = 9

It is important to remember when solving equations, whatever you want to do, just do it to both sides. This maintains the balance of the equation.