Question

What is 1/2x = 3/4(x-2)?

Answer 1

x = 6

Explanation:

1/2x = 3/4(x-2)

x/2 = 3/2^2(x-2)

x/2 = 3(x-2)/2^2

2x = 3x - 3 x 2

2x = 3x - 6

2x + (-3x) = (3x - 6)

-x = (3x - 6) - 3x

-x = 3x - 6 - 3x

-x = 3x - 3x - 6

-x = -6

x = 6

Answer 2

x = 6

Explanation:

`(1)/(2)`x =
`(3)/(4)`(x-2)

simplify:

`(x)/(2)` =
`(3(x-2))/(4)`

multiply both sides by 4:

2x = 3(x-2)

expand:

2x = 3x - 6

subtract 3x from both sides:

-x = -6

divide both sides by -1:

x = 6