What is the reason for each proof?
given: 3x - 4 = 2(x + 8), prove: x = 20
(1) 3x - 4 = 2(x + 8)
(2) 3x - 4 = 2x + 16
(3) 3x = 2x + 20

Step-by-step explanation:

We have given the expression:

3x - 4 = 2(x + 8)

Now multiply the R.H.S

3x-4 = 2x+16 (Distributive property)

Add 4 to both sides:

3x-4+4=2x+16+4

3x = 2x+20 (Addition property of equality)

Subtract 2x from both sides:

3x-2x = 2x-2x+20

x=20 (Subtraction property of equality)

Option A - managing income is the right answer.

Explanation:

According to the given scenario, Justin and wife should manage their income.

We will find the total earning of both.

Justin's monthly earnings =

His wife's earnings = $350

Total monthly earnings combined =

But their monthly expenses are generally about $3,000 which is more than their monthly earnings.

So, they should reduce their monthly expenses to maintain a positive earnings-expenses relation. Hence, they should start managing their income.