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If $x + 1 2 x + 3 = 38,$ then choose the value of x for which the equation holds true.

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14

16

12

13

answer is D.

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Detailed Solution

The given linear equation is as follows,

x + 1 2 x + 3 = 38

.
We cross-multiply the denominators with the numerators on the either side and simplify as follows,

8 (x + 1) = 3 (2 x + 3)

8 (x) + 8 (1) = 3 (2 x) + 3 (3) 8 x + 8 = 6 x + 9

8 x + 8 − 8 = 6 x + 9 − 8 8 x = 6 x + 1

8 x − 6 x = 6 x − 6 x + 1 2 x = 1

2 x 2 = 12 x = 12

So, the value of the variable x is

12

.
Hence, the correct option is (4).

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