3/5 (x+2) = x-4

What is the answer?

Is it one solution, no solution, or Infinite solution?

One solution

Step-by-step explanation:

3/5 (x+2) = x-4

I do not like working with fractions, so I will multiply by 5 on each side to clear the fractions.

5 * 3/5 (x+2) = 5 * (x-4)

3 * (x+2) = 5 * (x-4)

Distribute

3x+6 = 5x-20

Subtract 3x from each side

3x+6 = 5x-20

3x-3x+6 = 5x-3x-20

6 = 2x-20

Add 20 to each side

6+20 = 2x-20+20

26 = 2x

Divide each side by 2

26/2 = 2x/2

13=x