Question

How do you solve `4x + 3= 2x - 6`?

Answer 1

See a solution process below:

Explanation:

First, subtract `color(red)(3)` and `color(blue)(2x)` from each side of the equation to isolate the `x` term while keeping the equation balanced:

`-color(blue)(2x) + 4x + 3 - color(red)(3) = -color(blue)(2x) + 2x - 6 - color(red)(3)`

`(-color(blue)(2) + 4)x + 0 = 0 - 9`

`2x = -9`

Now, divide each side of the equation by `color(red)(2)` to solve for `x` while keeping the equation balanced:

`(2x)/color(red)(2) = -9/color(red)(2)`

`(color(red)(cancel(color(black)(2)))x)/cancel(color(red)(2)) = -9/2`

`x = -9/2`