Question

How do you solve `1.4x+3.8=0.6x-0.68`?

Answer 1

See a solution process below:

Explanation:

First, subtract `color(red)(3.8)` and `color(blue)(0.6x)` from each side of the equation to isolate the `x` term while keeping the equation balanced:

`-color(blue)(0.6x) + 1.4x + 3.8 - color(red)(3.8) = -color(blue)(0.6x) + 0.6x - 0.68 - color(red)(3.8)`

`(-color(blue)(0.6) + 1.4)x + 0 = 0 - 4.48`

`0.8x = -4.48`

Now, divide each side of the equation by `color(red)(0.8)` to solve for `x` while keeping the equation balanced:

`(0.8x)/color(red)(0.8) = -4.48/color(red)(0.8)`

`(color(red)(cancel(color(black)(0.8)))x)/cancel(color(red)(0.8)) = -5.6`

`x = -5.6`