Question

The steps below show the solution to the equation 3(x−2)=2(x−3). Order the reasons for the steps.

3(x−2)=2(x−3)


3(x)+3(−2)=2(x)+2(−3)

[ Select ]


3x−6=2x−6

[ Select ]


3x−2x=−6+6

[ Select ]


x=0

[ Select ]


Fill out the select options with either:


A. Addition and subtraction properties of equality

B. Distributive property

C. Add and subtract

D. Multiply

Answer 1

Answer: B, D, A, C

Explanation:

To find the reasons for the steps, let's solve the equation.

3(x−2)=2(x−3) [distribute]

3(x)+3(−2)=2(x)+2(−3) [multiply]

3x−6=2x−6 [add and subtract both sides by 2x and -6]

3x−2x=−6+6 [add and subtract]

x=0

Therefore, the order would be B, D, A, C.