Question

How do you solve `10+ 4x = 5x - 3`?

Answer 1

`x = 13`

Explanation:

Solve for `x`
`10+4x=5x−3`

1) Subtract `4x` from both sides to get all the `x` terms together
`10 = x - 3`

2) Add `3` to both sides to isolate `x`
`13 = x` `larr` answer

Answer:
`x = 13`
................................

Check
Sub in `13` for `x` in the original equation
`10+4x=5x−3`

`10+4(13)=5(13)−3`

1) Add `3` to both sides
`13 + 4(13) = 5(13)`

Try to avoid doing all that multiplication.
Instead, subtract `4(13)` as a like term from both sides.

2) Subtract `4(13)` from both sides to get smaller numbers
`13 = 5(13) - 4(13)`

Subtract those like terms to get this:
`13 = 1(13)`
`13 = 13`

`Check!`