Question

How do you solve `7x+5=12x-4`?

Answer 1

See the entire solution process below:

Explanation:

First, subtract `color(red)(7x)` and add `color(blue)(4)` from each side of the equation to isolate the `x` term while keeping the equation balanced:

`7x + 5 - color(red)(7x) + color(blue)(4) = 12x - 4 - color(red)(7x) + color(blue)(4)`

`7x - color(red)(7x) + 5 + color(blue)(4) = 12x - color(red)(7x) - 4 + color(blue)(4)`

`0 + 9 = 5x - 0`

`9 = 5x`

Now, divide each side of the equation by `color(red)(5)` to solve for `x` while keeping the equation balanced:

`9/color(red)(5) = (5x)/color(red)(5)`

`9/5 = (color(red)(cancel(color(black)(5)))x)/cancel(color(red)(5))`

`9/5 = x`

`x = 9/5`