Question

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

Answer 1

`x = -7/2 = -3 1/2`

Explanation:

To solve questions like these, we take all the variable terms, which are those terms with an `x,y, a, n` or any thing not having a fixed value (variable) to one side.

If we Add, Subtract, Multiply or Divide the same quantity from each side, the equation remains unaffected.

So, to bring all variable terms to one side, subtract `x` from each side to get

`x - x - 5 = 3x - x - 2`
`=> -5 = 2x + 2`

Next, take all the constant terms (those terms having a fixed value) to the other side by subtracting 2 from each side to get

`-5 - 2 = 2x + 2 - 2`
`=> -7 = 2x`

Now, divide both sides by 2 to leave only `x` on one side and get

`-7/2 = x` `color(white)("XXX") or` `color(white)("XXX")` `x = -7/2 = -3 1/2`