What is the value of x in the equation x/5 - 3x/2 = 7 + x/2?
- -35/9
- 35/9
- -18/70
- 5
Explanation
Given:
x/5 - (3x/2) = 7 + x/2
Step 1: Eliminate fractions by finding a common denominator
The LCM of 5 and 2 is 10. Multiply both sides of the equation by 10:
10 × (x/5 - 3x/2) = 10 × (7 + x/2)
(2x - 15x) = 70 + 5x
-13x = 70 + 5x
Step 2: Move all terms to one side
-13x - 5x = 70
-18x = 70
Step 3: Solve for x
x = 70 / -18 = -35/9
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