Question

How do you solve `3x=16-5x`?

Answer 1

x=2

Explanation:

First of all, you are going to add `5x` to each side. This will give you a new equation of `8x=16`. The reason you add 5 is because you want to get rid of the -5x on the right. When you add 5 it changes to 0x. Anything times 0 equals 0. The next step is to divide both sides by 8. The reason you divide is to get x alone. When you divide 8x by 8, you get 1x. 1 times anything equals what the other thing is. For example, 1 times 4 is 4. This will give you your answer of `x=2`

Answer 2

The solution is `x=2`.

Explanation:

You can add `5x` to both sides of the equation, then divide both sides by `8`:

`3x=16-5x`

`3xcolor(blue)+color(blue)(5x)=16-5xcolor(blue)+color(blue)(5x)`

`3xcolor(blue)+color(blue)(5x)=16color(red)cancelcolor(black)(color(black)-5xcolor(blue)+color(blue)(5x))`

`3xcolor(blue)+color(blue)(5x)=16`

`8x=16`

`color(blue)(color(black)(8x)/8)=color(blue)(color(black)16/8)`

`color(blue)(color(black)(color(red)cancelcolor(black)8x)/color(Red)cancelcolor(blue)8)=color(blue)(color(black)16/8)`

`x=color(blue)(color(black)16/8)`

`x=2`

This is the answer. Hope this helped!