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Solve the equation $5 x − 13 (x + 1) = 6 x + 130$ , and choose the option which follows.

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− 32

− 25

− 23

− 52

answer is A.

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Detailed Solution

The given linear equation is as follows,

5 x − 13 (x + 1) = 6 x + 130

.
We multiply each side of the equation by the LCM of the denominators, i.e., 3 and 5, which is 15, as follows,

15 (5 x) − 153 (x + 1) = 15 (6 x) + 155 75 x − 5 (x + 1) = 90 x + 3

75 x − (5 × x) − (5 × 1) = 90 x + 3 75 x − 5 x − 5 = 90 x + 3 70 x − 5 = 90 x + 3

70 x − 5 + 5 = 90 x + 3 + 5 70 x = 90 x + 8

70 x − 90 x = 90 x + 8 − 90 x − 20 x = 8

− 20 x − 20 = 8 − 20 x = − 25

So,

− 25

is the solution of

5 x − 13 (x + 1) = 6 x + 130

.
Hence, the correct option is (1).

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