Question

How do you solve for x: `7/12(x-3)=1/3x+4`?

Answer 1

`x=23`

Explanation:

Multiplying the given equation by `12`

`7(x-3)=12/3x+48`

`7(x-3)=4x+48`

since
`7(x-3)=7x-21`

we get

`7x-21=4x+48`

Adding `21`

`7x=4x+69`

subtracting `4x`

`3x=69`
so

`x=23`

Answer 2

`x=23`

Explanation:

Let's get rid of the fractions so we can just have a plain vanilla linear equation. We can multiply all terms by `12`. We get

`7(x-3)=4x+48`

We can next distribute the `7` to both terms in the parenthesis to get

`7x-21=4x+48`

Next, we can add `21` to both sides to further isolate the `x` terms. We will get

`7x=4x+69`

Subtracting `4x` from both sides gives us

`3x=69`

Lastly, we can divide both sides by `3` to get

`x=23`

Hope this helps!