Question

How do you solve `x+3=2x-5`?

Answer 1

x = 8

Explanation:

x+3=2x−5

You want to isolate the "x" on one side, so subtract "x" from one side and move it over to the other side with "2x."

3 = 2x - x - 5

Then move the -5 to the other side by changing the sign (-5 to +5) and adding it to the other side.

3 + 5 = 2x - x

Solve it and you should result with 8 = x.

Answer 2

More detail given

Explanation:

Given that: `x+3=2x-5`

Grouping like terms with `x` on the right to keep it positive and everything else on the other side.

Add `color(blue)(5)` to both sides.

`(x+3) color(blue)(+5) = (2x -5) color(blue)(+5)`
The brackets only function is to show what is being changed

`x +(3+5) = 2x + (-5 +5)`

`x+8 =2x +0`

Subtract `color(blue)(x)` from both sides

`(x+8) -color(blue)(x) = (2x) -color(blue)(x)`

but `2x -> 2 " of "x " so " 2x = x+x`

`8 + (x color(blue)(-x)) = x + (x-color(blue)(x))`

`8 +0=x +0`
`8=x`

Convention is that `x` is on the left so reverse

`x=8`
.