Question

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

Answer 1

All real numbers are solutions (hope that helps)

Explanation:

12x+1=3(4x+1)−2

Step 1: Simplify both sides of the equation.

12x+1=3(4x+1)−2

12x+1=(3)(4x)+(3)(1)+−2(Distribute)

12x+1=12x+3+−2

12x+1=(12x)+(3+−2)(Combine Like Terms)

12x+1=12x+1

12x+1=12x+1

Step 2: Subtract 12x from both sides.

12x+1−12x=12x+1−12x

1=1

Step 3: Subtract 1 from both sides.

1−1=1−1

0=0