Solve Linear Equation: -6(7x-6)-(-5-8x)=0 Step by Step

−6(7x−6)−(−5−8x)=0 -6(7x-6)-(-5-8x)=0

❤️ 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
00:00 Solve
00:03 Open parentheses properly, multiply by each factor
00:06 Negative times negative always equals positive
00:16 Collect terms
00:28 Arrange the equation so that only the unknown X is on one side
00:35 Isolate X
00:41 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

−6(7x−6)−(−5−8x)=0 -6(7x-6)-(-5-8x)=0

2

Step-by-step solution

We will use the extended division rule and the formula:

a(x+b)=ax+ab a(x+b)=ax+ab

−42x+36+5+8x=0 -42x+36+5+8x=0

Let's input the appropriate terms:

−34x+41=0 -34x+41=0

We'll move -34x to the right side and maintain the appropriate sign:

41=34x 41=34x

Let's divide both sides by 34:

4134=34x34 \frac{41}{34}=\frac{34x}{34}

4134=x \frac{41}{34}=x

We'll convert the simple fraction to a mixed fraction:

x=1734 x=1\frac{7}{34}

3

Final Answer

1734 1\frac{7}{34}

Practice Quiz

Test your knowledge with interactive questions

Solve for x:

\( 2(4-x)=8 \)

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Linear Equations (One Variable) 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

Solving Quadratic Equations using Factoring

Solve Linear Equation: 5(8+a)-(2a+14)=56 Using Distribution
Click to solve
Solve for X in 4=(2x-1)×2/3: Detailed Linear Equation Solution
Click to solve