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Solve the equation $2 x 3 + 1 = 7 x 15 + 3$ .

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x=10

x=27

x=32

x=25

answer is A.

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Detailed Solution

Given equation is

2 x 3 + 1 = 7 x 15 + 3

.
Transpose

7 x 15

to the left-hand side and 1 to the right-hand side.

⇒ 2 x 5 − 7 x 15 = 3 − 1

Simplifying by taking LCM of (5,15).

⇒ 2 x × 5 − 7 x × 1 15 = 2 ⇒ 10 x − 7 x = 30 ⇒ 3 x = 30 ⇒ x = 10

The value of variable x is 10.
Correct option is 1.

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