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How do you solve #x/2=20-x/3#?

Answer 1

Abigail Allen

#x/2=20-x/3# #x/2+x/3=20# #(3x+2x)/6=20 # 5x/6=#20# #5x=20*6# #5x=120# #x=120/5# #x=24#

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Answer 2

Avery Alexander

To solve the equation x/2 = 20 - x/3, we can start by getting rid of the fractions. We can do this by multiplying both sides of the equation by the least common multiple (LCM) of the denominators, which in this case is 6. This gives us 6(x/2) = 6(20 - x/3). Simplifying, we have 3x = 120 - 2x.

Next, we can combine like terms by adding 2x to both sides of the equation, resulting in 3x + 2x = 120. This simplifies to 5x = 120.

To isolate x, we divide both sides of the equation by 5, giving us x = 24.

Therefore, the solution to the equation x/2 = 20 - x/3 is x = 24.

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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.