Question

How do you solve `1.5x + 2- 1.2x = 12.2`?

Answer 1

`x=34`

Explanation:

Whenever you see an equation like this the first thing you want to do is get all of the `x` terms on one side and all of the constants on the other.

`1.5x+2-1.2x=12.2`

`1.5x-1.2x=12.2-2`

Now we can combine the terms because they are all common

`0.3x=10.2`

Now we divide both sides by `0.3` to find the value of `x`

`(cancel0.3x)/cancel0.3=10.2/0.3`

`x=10.2/0.3`

`color(blue)(x=34)`

We can even check our answer by putting our value for `x` into the original equation.

`1.5x+2-1.2x=12.2`

`1.5(color(blue)(34))+2-1.2(color(blue)34)=12.2`

`51+2-40.8=12.2`

`53-40.8=12.2`

`color(green)(12.2=12.2)`