## 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__

__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__

__To Find__

We need to determine

- The value of x.

__Approach & Working__

__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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