Solve 1/2 (4x + 6) = 1/3 (9x - 24) with and without using the LCD of the fraction. Are your answers the same?

For the answer to the question above asking to s olve 1/2 (4x + 6) = 1/3 (9x - 24) with and without using the LCD of the fraction.

The problem is simple.

just multiply 1/2 to 4x + 6 which will result to 2x+3

same method on the 1/3 to 9x - 24 and it will result to 3x-8

2x+3 = 3x - 8

3x-2x = 8+3

then the answer will be x = 11