General Basic Math Exams Quizzes MCQs Quizzes Equations Math Quiz

Question:
If x+3/2 + 3x = 5(x-3) + x+23/5, what is the value of x?

Option A):
5
Option B):
11
Option C):
7
Option D):
9
Option E):
3

Correct Answer is Option C):
7

Explanation:
Solution:
Use the six step method:
1. Multiply both sides of the equation by 10 to get rid of fractions:
5(x + 3) + 30x = 50 (x + 3) + 2 (x + 23)
2. Use the distributive law to get rid of parentheses:
5x + 15 + 30x = 50x - 150 + 2x +46
3. Combine like terms:
35x +15 = 52x - 104
4. Get the variable onto one side:
15 = 17x -104
5. Add 104 to each side:
119 = =17x
6. Divide by 17:
  x=7