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If 2x - 1 + 2x + 1 = 2560, find the value of x.

Correct Answer: 10

Explanation:

2x - 1 + 2x + 1 = 2560
2x - 1 + 2x - 1 + 2 = 2560
Apply the Law of Algebra
2x - 1 + 2x - 1 x 2 2 = 2560
⇒ 2x - 1 ( 1 + 22 ) = 2560
⇒ 2x - 1 = 2560/5 = 512 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
⇒ 2x - 1 = 29
x - 1 = 9
x = 9 + 1 = 10


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