Question

How do you solve `15 - 4x + 5= 32`?

Answer 1

See a solution process below:

Explanation:

First, group and combine like terms on the left side of the equation. For this problem this will be the constants:

`15 - 4x + 5 = 32`

`-4x+ 15 + 5 = 32`

`-4x+ (15 + 5) = 32`

`-4x+ 20 = 32`

Next, subtract `color(red)(20)` from each side of the equation to isolate the `x` term while keeping the equation balanced:

`-4x+ 20 - color(red)(20) = 32 - color(red)(20)`

`-4x+ 0 = 12`

`-4x = 12`

Now, divide each side of the equation by `color(red)(-4)` to solve for `x` while keeping the equation balanced:

`(-4x)/color(red)(-4) = 12/color(red)(-4)`

`(color(red)(cancel(color(black)(-4)))x)/cancel(color(red)(-4)) = -3`

`x = -3`