Question

How many solutions exist for the given equation?
12×+1=3(4×+1)-2​

Answer 1

infinite Solutions

Explanation:

12x+1 = 12x+3-2

12+1 = 12x+1

The equation is same on both sides, so x can be anything.

Answer 2

infinite solutions

Explanation:

12x+1=3(4x+1)-2​

Distribute

12x+1 = 12x+3 -2

Combine like terms

12x+1 = 12x+1

Subtract 12x from each side

12x+1-12x = 12x+1-12x

1 =1

Since this always true, there are infinite solutions