Solve |2x - 5| = 4 someone help

1 answer:

4 0

$\text{Solve the absolute value, remember, there are two answers/outcomes}\\\\\text{First outcome:}\\\\2x - 5 = 4\\\\\text{Solve:}\\\\2x - 5 = 4\\\\\text{Add 5 to both sides}\\\\2x=9\\\\\text{Divide by 2}\\\\\boxed{x=\frac{9}{2}}\\\\\text{Second outcome:}\\\\2x - 5 = -4\\\\\text{Add 5 to both sides}\\\\2x=1\\\\\text{Divide by 2}\\\\\boxed{x=\frac{1}{2}}$

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Answer:

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Step-by-step explanation:

The easiest common denominator to find is the product of the denominators you have.

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Additional comment

The difference numerator and denominator have a common factor of 2, so can be reduced to 17/24. The denominator 24 could have been used as the common denominator from the start.

5/6 -1/8 = 20/24 -3/24 = 17/24 . . . . reduced result

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