Question

How do you solve `19.65x+2.2(x-6.05)=255.65`?

Answer 1

See the entire solution process below:

Explanation:

First, expand the term in parenthesis:

`19.65x + (2.2 xx x) - (2.2 xx 6.05) = 255.65`

`19.65x + 2.2x - 13.31 = 255.65`

Next, combine like terms:

`(19.65 + 2.2)x - 13.31 = 255.65`

`21.85x - 13.31 = 255.65`

Then, add `color(red)(13.31)` to each side of the equation to isolate the `x` term while keeping the equation balanced:

`21.85x - 13.31 + color(red)(13.31) = 255.65 + color(red)(13.31)`

`21.85x - 0 = 268.96`

`21.85x = 268.96`

Now, divide each side of the equation by `color(red)(21.85)` to solve for `x` while keeping the equation balanced:

`(21.85x)/color(red)(21.85) = 268.96/color(red)(21.85)`

`(color(red)(cancel(color(black)(21.85)))x)/cancel(color(red)(21.85)) = 12.31`

`x = 12.31` rounded to the nearest hundredth