Question

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

Answer 1

x = 72

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

Answer 2

x=72

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