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Exponents with like Bases

Solve the fol...

Question

Solve the following equation:
$\frac{4}{3} (x - 1) + \frac{2}{3} = x + 1$

A

5

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B

3

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C

8

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D

2

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Solution

The correct option is A $5$
$\frac{4}{3} (x - 1) + \frac{2}{3} = x + 1 ⟹ \frac{4}{3} x - \frac{4}{3} + \frac{2}{3} = x + 1 ⟹ \frac{4}{3} x - \frac{2}{3} = x + 1 ⟹ \frac{1}{3} x = 1 + \frac{2}{3} = \frac{5}{3} ⟹ x = 3 (\frac{5}{3}) = 5$

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