Question

How do you solve `5x - ( 3x - 3) = 11`?

Answer 1

See the entire solution process below:

Explanation:

First, remove all the terms from parenthesis on the left side of the equation and combine like terms. Be sure to pay attention to the signs of the individual terms:

`5x - 3x + 3 = 11`

`(5 - 3)x + 3 = 11`

`2x + 3 = 11`

Next, subtract `color(red)(3)` from each side of the equation to isolate the `x` term while keeping the equation balanced:

`2x + 3 - color(red)(3) = 11 - color(red)(3)`

`2x + 0 = 8`

`2x = 8`

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

`(2x)/color(red)(2) = 8/color(red)(2)`

`(color(red)(cancel(color(black)(2)))x)/cancel(color(red)(2)) = 4`

`x = 4`