112k views
3 votes
How many solutions exist for the given equation?

3(x – 2) = 22 – x

zero
one
two
infinitely many

1 Answer

2 votes

Answer:

C. Infinitely many

Explanation:

First, find x.

3(x-2)=22-x

Use distributive property.

3x-6=22-x

Add x to both sides.

4x-6=22

Add 6 to both sides.

4x=28

Divide 4 from both sides.

x=7

Plug in 7 for x into the original equation.

3(7-2)=22-7

3(5)=22-7

15=15

Since 15 does equal 15, the answer has infinitely many solutions.

Hope this helps!

If not, I am sorry.

User Dan Cameron
by
5.1k points