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How do you solve #x/4=1/2-(3x)/20#?

Answer 1

Avery Alexander

#x = 5/4#

Multiply both sides by 20

#5x = 10 - 3x#

Isolate x

#5x + 3x = 10# #8x = 10#

Divide both sides by 8

#x = 10/8 = 5/4#

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Answer 2

Hazel Anglin

To solve the equation x/4 = 1/2 - (3x)/20, we can start by finding a common denominator for the fractions on the right side. The common denominator is 20.

Multiplying both sides of the equation by 20, we get:

20 * (x/4) = 20 * (1/2) - 20 * ((3x)/20)

Simplifying, we have:

5x = 10 - 3x

Combining like terms, we get:

5x + 3x = 10

8x = 10

Dividing both sides by 8, we find:

x = 10/8

Simplifying the fraction, we have:

x = 5/4

Therefore, the solution to the equation x/4 = 1/2 - (3x)/20 is x = 5/4.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.