Question

Match the order of the step to the steps to solve this equation2x/3 -6 =2 Column A 1. ___ What is the first step? 2. ___ What is the second step? 3. ___ What is the third step? 4. ___ What is the value of X? Column B a. Multiply both sides by 3 b. Divide both sides by 2 c. X=12 d. Add 6 to both sides Please help me with this.

Answer 1

Step-by-step explanation:
`(2x)/(3)-6\text{ = 2}`

The first step is to collect like terms:

This is done by adding 6 to both sides of the equation

1) add 6 to both sides (option D)

2x/3 -6+6 = 2+6

2x/3 = 8

The second step is to cross multiply OR

multiply both sides of the equation by 3

2x = 8(3)

2x = 24

2) Multiply both sides by 3 (option A)

The third step is to divide both sides by 2

2x/2 = 24/2

3) Divide both sides by 2 (option B)

x = 24/2

4) x = 12 (option C)