Question

How do you evaluate `x+13+x+12 = 19`?

Answer 1

See a solution process below:

Explanation:

First, group and combine like terms on the left side of the equation:

`x + x + 13 + 12 = 19`

`1x + 1x + 13 + 12 = 19`

`(1 + 1)x + (13 + 12) = 19`

`2x + 25 = 19`

Next, subtract `color(red)(25)` from each side of the equation to isolate the `x` term while keeping the equation balanced:

`2x + 25 - color(red)(25) = 19 - color(red)(25)`

`2x + 0 = -6`

`2x = -6`

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

`(2x)/color(red)(2) = -6/color(red)(2)`

`(color(red)(cancel(color(black)(2)))x)/cancel(color(red)(2)) = -3`

`x = -3`