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How do you solve #(x+4)/3 = (6x)/(-6)#?

Answer 1

Julia Adams

#color(blue)(x=-1#

#(x+4)/3=(6x)/-6#

#(x+4)*(-6)=(6x)*3#

#-6x -24=18x#

#-6x -18x=24#

#-24x=24#

#x=24/(-24)#

#color(blue)(x=-1#

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Answer 2

Eli Assouline

To solve the equation (x+4)/3 = (6x)/(-6), we can start by cross-multiplying to eliminate the fractions. This gives us (-6)(x+4) = (6x)(3). Simplifying further, we get -6x - 24 = 18x. Combining like terms, we have -24 = 24x. Dividing both sides by 24, we find x = -1.

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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.