Question

How do you solve `25x + 74= 23x + 9`?

Answer 1

See a solution process below:

Explanation:

First, subtract `color(red)(74)` and `color(blue)(23x)` from each side of the equation to solve for isolate the `x` term while keeping the equation balanced:

`-color(blue)(23x) + 25x + 74 - color(red)(74) = -color(blue)(23x) + 23x + 9 - color(red)(74)`

`(-color(blue)(23) + 25)x + 0 = 0 - 65`

`2x = -65`

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

`(2x)/color(red)(2) = -65/color(red)(2)`

`(color(red)(cancel(color(black)(2)))x)/cancel(color(red)(2)) = -65/2`

`x = -65/2`