What is the solution to the equation 1/2x + 3 = 2/3x + 1

x=12

Step-by-step explanation:

1/2x + 3 = 2/3x + 1

Subtract 1 from each side

1/2x + 3-1 = 2/3x + 1-1

1/2x + 2 = 2/3 x

Subtract 1/2 x from each side

1/2x - 1/2x + 2 = 2/3x - 1/2x

2 = 2/3x - 1/2x

Get a common denominator of 6 2/3 = 4/6 and 1/2 = 3/6

2 = 4/6x - 3/6x

2 = 1/6 x

Multiply each side by 6 to isolate x

2*6 = 1/6x * 6

12 = x