Solve for X: Finding the Solution to x/4 + 2x - 18 = 0

x4+2x18=0 \frac{x}{4}+2x-18=0

x=? x=\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
00:00 Solve
00:03 We want to isolate the unknown X
00:08 We'll multiply by the denominator to eliminate the fraction
00:20 We'll simplify as much as possible
00:34 We'll arrange the equation so that one side has only the unknown X
00:42 We'll isolate the unknown X
00:53 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

x4+2x18=0 \frac{x}{4}+2x-18=0

x=? x=\text{?}

2

Step-by-step solution

To solve the equation x4+2x18=0\frac{x}{4} + 2x - 18 = 0, we proceed as follows:

  • Step 1: Eliminate the fraction by multiplying the entire equation by 4:
    (4)(x4+2x18)=(4)(0)(4) \Big(\frac{x}{4} + 2x - 18\Big) = (4)(0)
  • Step 2: Distribute and simplify:
    x+8x72=0x + 8x - 72 = 0
  • Step 3: Combine like terms:
    9x72=09x - 72 = 0
  • Step 4: Isolate 9x9x by adding 72 to both sides:
    9x=729x = 72
  • Step 5: Solve for xx by dividing both sides by 9:
    x=729x = \frac{72}{9}
  • Step 6: Simplify the division:
    x=8x = 8

Thus, the solution to the problem is x=8x = 8.

3

Final Answer

8

Practice Quiz

Test your knowledge with interactive questions

Solve for X:

\( 5x=25 \)

🌟 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