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## 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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