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How do you solve #4 + 5(3 - x) = 4(8 + 2x)#?

Answer 1

Avery Alexander

#x = -1#

#4 + 5(3 − x) = 4(8 + 2x)#

Distribute #5# and #4# to make the equation in its expanded form

#4 + 15 - 5x = 32 + 8x#

Joining common factors or alike integers for each side:

#13x = -13#

Simplify by dividing both sides with #13#

#x = -1#

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Answer 2

Genesis Allen

First, distribute the 5 and the 4 on the left and right sides of the equation, respectively. This gives you 4 + 15 - 5x = 32 + 8x. Next, combine like terms on each side of the equation. This results in 19 - 5x = 32 + 8x. Then, move all the x terms to one side of the equation and the constant terms to the other side. This gives you 19 - 32 = 8x + 5x. Simplify both sides to get -13 = 13x. Finally, divide both sides by 13 to solve for x, giving you 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.