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How do you solve #0.40x - 0.20(50 + x) = -0.04(50)#?

Answer 1

Hazel Anglin

#color(blue)(x=40#

#0.40x−0.20(50+x)=−0.04(50)#

#0.40x−0.20 xx (50) + (−0.20) xx (x)=−0.04(50)#

#0.40x -10 -0.20x= -2#

#0.40x -0.20x= -2 +10#

#0.20x= -2 +10#

#0.20x= 8#

#x=8/(0.20)#

#x=800/(20)#

#x=80/(2)#

#color(blue)(x=40#

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Answer 2

Hazel Anglin

To solve the equation 0.40x - 0.20(50 + x) = -0.04(50), follow these steps:

Distribute the terms inside the parentheses: 0.40x - 10 - 0.20x = -2
Combine like terms on both sides of the equation: 0.40x - 0.20x - 10 = -2
Combine the x terms: 0.20x - 10 = -2
Add 10 to both sides: 0.20x = 8
Divide both sides by 0.20: x = 40

So, the solution to the equation is x = 40.

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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.