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What is the value of x? 3(x + 6) + 2 (x + 3) = 64
  • a)
    8
  • b)
    6
  • c)
    –8
  • d)
    4
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
What is the value of x? 3(x + 6) + 2 (x + 3) = 64a)8b)6c)–8d)4Co...
3(x + 6) + 2(x + ) = 64
⇒ 3x + 18 + 2x + 6 =64
⇒ 5x + 24 = 64
⇒ 5x = 64 - 24
⇒ 5x = 40
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Most Upvoted Answer
What is the value of x? 3(x + 6) + 2 (x + 3) = 64a)8b)6c)–8d)4Co...
Understanding the Equation
To solve the equation 3(x + 6) + 2(x + 3) = 64, we will simplify and isolate x.
Step 1: Distribute the Numbers
- Distributing 3 into (x + 6):
- 3 * x + 3 * 6 = 3x + 18
- Distributing 2 into (x + 3):
- 2 * x + 2 * 3 = 2x + 6
Now, we can rewrite the equation:
3x + 18 + 2x + 6 = 64
Step 2: Combine Like Terms
- Combine 3x and 2x:
- 3x + 2x = 5x
- Combine constants 18 and 6:
- 18 + 6 = 24
The equation now looks like this:
5x + 24 = 64
Step 3: Isolate the Variable
- To get x by itself, subtract 24 from both sides:
5x + 24 - 24 = 64 - 24
This simplifies to:
5x = 40
Step 4: Solve for x
- Finally, divide both sides by 5:
x = 40 / 5
This gives us:
x = 8
Conclusion
The value of x is 8, which corresponds to option 'A'.
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