Question

How do you solve `187=19+7(13-x)`?

Answer 1

See the entire solution process below:

Explanation:

First, expand the terms in parenthesis by multiplying each term within the parenthesis by the term outside the parenthesis:

`187 = 19 + color(red)(7)(13 - x)`

`187 = 19 + (color(red)(7) xx 13) - (color(red)(7) xx x)`

`187 = 19 + 91 - 7x`

`187 = 110 - 7x`

Next, subtract `color(red)(110)` from each side of the equation to isolate the `x` term while keeping the equation balanced:

`-color(red)(110) + 187 = -color(red)(110) + 110 - 7x`

`77 = 0 - 7x`

`77 = -7x`

Now, divide each side of the equation by `color(red)(-7)` to solve for `x` while keeping the equation balanced:

`77/color(red)(-7) = (-7x)/color(red)(-7)`

`-11 = (color(red)(cancel(color(black)(-7)))x)/cancel(color(red)(-7))`

`-11 = x`

`x = -11`