Question

Question #35e22

Answer 1

HI,
`13-4x=1-x`
`13-1=(4x)-x`
note: '4x' changes its sign from negative to positive and also '1'
SO,
12=3x
`12/3`=x
x=4

Answer 2

`13 - 4x = 1 - x`
`13 - 4x + (4x) = 1 - x + (4x)`
`13 = 1 + 3x`
`1 + 3x = 13`
`1 + 3x - (1) = 13 - (1)`
`3x = 12`
`(3x)/ 3 = 12 / 3`
`x = 4`

Explanation:

So you have

`13 - 4x = 1 - x`

Start by adding `4x` to both sides of the equation so that all the `x` terms are on the left side:

`13 - 4x + (4x) = 1 - x + (4x)`
`13 = 1 + 3x`
`1 + 3x = 13`

Now we want to get the `x` terms alone on the left side of the equation, so we subtract both sides by `1`

`1 + 3x - (1) = 13 - (1)`
`3x = 12`

Now we want to solve for `x`, so we divide both sides by `3` to get `x` alone on the left side.

`(3x)/ 3 = 12 / 3`
`x = 4`

And there's your answer. You can plug it back into the original equation to check:

`13 - 4(4) = 1 - (4)`
`-3 = -3`

That's true, so your answer is correct.