OGQR 2020: Question No. 77
If half the result obtained when 2 is subtracted from 5x is equal to the sum of 10 and 3x, what is the value of x?
| Source | OGQR 2020 |
| Type | Problem Solving |
| Topic | Algebra |
| Sub-Topic | Linear Equation |
| Difficulty | Easy-Medium |
Solution
Given
In this question, we are given
- 1/2 the result obtained when 2 is subtracted from 5x is equal to the sum of 10 and 3x.
To Find
We need to determine
- The value of x.
Approach & Working
1/2 the result obtained when 2 is subtracted from 5x = 1/2(5x – 2)
Sum of 10 and 3x = (10 + 3x)
Therefore, as per the question,
- 1/2 (5x – 2) = (10 + 3x)
Or, 5x – 2 = 20 + 6x
Or, x = -2 – 20 = -22
Hence, the correct answer is option A.
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