Simplify 3x-(7x+3y): Distributing Negative Signs in Algebraic Expressions

3x−(7x+3y)=? 3x-(7x+3y)=\text{?}

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:06 Let's solve the problem together.
00:09 Remember, when you multiply a negative by a positive, the answer is always negative.
00:20 Now, let's gather all the terms.
00:26 Great job! And that's how we find the solution.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

3x−(7x+3y)=? 3x-(7x+3y)=\text{?}

2

Step-by-step solution

First, we open the parentheses and change the sign accordingly.

Since there are only positive numbers within the parentheses, multiplying by the minus will give us negative numbers:

3x−7x−3y= 3x-7x-3y=

Now we group the X factors:

3x−7x=−4x 3x-7x=-4x

Now we obtain:

−4x−3y -4x-3y

3

Final Answer

−4x−3y -4x-3y

Practice Quiz

Test your knowledge with interactive questions

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

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Commutative, Distributive and Associative Properties questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations

Additional Arithmetic Rules

Simplify 3x-(y·z+3z:z/x): Multiple Variable Expression Solution
Click to solve
Simplify the Expression: 10y-(5y+3z) Step-by-Step
Click to solve

Commutative, Distributive and Associative Properties

Simplify 8y+4x-(13x+8y): Multi-Variable Expression Challenge
Click to solve
Simplify the Expression: a+b-(2c+b) Step by Step
Click to solve