Solve the following equation. 2/3x + 6 = 1/2x + 1/4 x

x=72

Step-by-step explanation:

2/3x + 6 = 1/2x + 1/4 x

Multiply both sides by 12 to get rid of the fractions

12 (2/3x + 6) = 12 (1/2x + 1/4 x)

8x + 72 = 6x + 3x

Combine like terms

8x+72 = 9x

Subtract 8x from each side

8x-8x+72 = 9x-8x

72 = x

x = 72

Step-by-step explanation:

Multiply through by the lowest common multiple of 3, 2 and 4

To clear the fractions multiply through by 12

The equation can now be written as

8x + 72 = 6x + 3x, that is

8x + 72 = 9x (subtract 9x from both sides)

- x + 72 = 0 (subtract 72 from both sides)

- x = - 72 (multiply both sides by - 1)

x = 72