Question

How do you solve `0=1/2x-3`?

Answer 1

See the entire solution process below:

Explanation:

First, add `color(red)(3)` to each side of the equation to isolate the `x` term while keeping the equation balanced:

`0 + color(red)(3) = 1/2x - 3 + color(red)(3)`

`3 = 1/2x - 0`

`3 = 1/2x`

Now, multiply each side of the equation by `color(red)(2)` to solve for `x` while keeping the equation balanced:

`color(red)(2) * 3 = color(red)(2) * 1/2x`

`6 = cancel(color(red)(2)) * 1/color(red)(cancel(color(red)(2)))x`

`6 = 1x`

`1x = 6`

`x = 6`