Solve the Expression: Simplifying x-(y-x) Step by Step

Question

$x-(y-x)=\text{?}$

00:00 Solve

00:03 Note, when multiplying negative by positive, the result is always negative:

00:20 Note, when multiplying negative by negative, the result is always positive:

00:25 Let's gather terms

00:33 And this is the solution to the question

First, we address the parenthesis:

Remember that:

When we multiply a positive number by a negative number, the result will be negative.

When we multiply a negative number by a negative number, the result will be positive.

We obtain the following:

$x-y+x=$

We join the x coefficients:

$x+x=2x$

Lastly we obtain:

$2x-y$

$2x-y$