Question

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

Answer 1

Answer: x = 4

Explanation:

u first subtract x/3 from both sides

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

then u simplify

1/2 - x/12 = 1/6

Then u subract 1/2 from both sides

1/2 - x/12 - 1/2 = 1/6 - 1/2

Then u multiply both sides by 12

12(- x/12) = 12 (-1/3)

then u simplify

- x = - 4

then u divide both sides by -1

-x/-1 = -4/-1

then u simply and get 4

Answer 2

x = 4

Explanation:

Given

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

Multiply through by 12 ( the LCM of 4, 2, 3, 6 ) to clear the fractions

3x + 6 = 4x + 2 ( subtract 3x from both sides )

6 = x + 2 ( subtract 2 from both sides )

4 = x