If [{(2x + 2)(x + 3)} + 8) = (2x + 1) (x + 5), then find out the value of x?
(a) 2
(b) 3
(c) 1
(d) 4
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Answered by
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Given equation:
- [{(2x + 2)(x + 3)} + 8] = (2x + 1) (x + 5).
To find:
- The value of x?
Solution:
Here in this question, we are provided with a equation and we are asked to solve that equation to find the value of x, let's start solving our equation and understanding the steps to get our value of x.
→ [{(2x + 2)(x + 3)} + 8] = (2x + 1) (x + 5)
→ (2x + 2)(x + 3) + 8 = (2x + 1)(x + 5)
→ 2x² + 8x + 6 + 8 = (2x + 1)(x + 5)
→ 2x² + 8x + 14 = (2x + 1)(x + 5)
→ 2x² + 8x + 14 = 2x² + 11x + 5
→ 2x² - 2x² + 8x + 14 = 11x + 5
→ 8x + 14 = 11x + 5
→ 8x - 11x = 5 - 14
→ -3x = 5 - 14
→ -3x = -9
→ 3x = 9
→ x = 3.
Hence,
The value of x option (b) 3.
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