Question

How do you simplify `3x + \frac { 1} { 2} = 2x - \frac { 1} { 2}`?

Answer 1

See the following :)

Explanation:

First, we can minus `1/2` on both sides.

`3x+1/2=2x-1/2`
`3x+1/2 color(red)(-1/2)=2x-1/2color(red)(-1/2)` `=>`[minus 1/2 on both sides]
`3x+cancel (1/2)-cancel(1/2)=2x-1`

Then, we can minus `2x` on both sides.

`3xcolor(red)(-2x)=2x-1color(red)(-2x)` `=>`[minus 2x on both sides]

`x=cancel(2x)-cancel(2x)-1`

`x=-1`

Here we got the answer for the question. Hope this can help you :)