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

x−(y−x)=? x-(y-x)=\text{?}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

x−(y−x)=? x-(y-x)=\text{?}

2

Step-by-step solution

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= x-y+x=

We join the x coefficients:

x+x=2x x+x=2x

Lastly we obtain:

2x−y 2x-y

3

Final Answer

2x−y 2x-y

Practice Quiz

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\( 100-(5+55)= \)

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