Question

How do you solve `19-6x=4x+11`?

Answer 1

See a solution process below:

Explanation:

First, add `color(red)(6x)` and subtract `color(blue)(11)` from each side of the equation to isolate the `x` term while keeping the equation balanced:

`19 - color(blue)(11) - 6x + color(red)(6x) = 4x + color(red)(6x) + 11 - color(blue)(11)`

`8 - 0 = (4 + color(red)(6))x + 0`

`8 = 10x`

Now, divide each side of the equation by `color(red)(10)` to solve for `x` while keeping the equation balanced:

`8/color(red)(10) = (10x)/color(red)(10)`

`4/5 = (color(red)(cancel(color(black)(10)))x)/cancel(color(red)(10))`

`4/5 = x`

`x = 4/5`