**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