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How do you solve #−4(x + 1) − 3 = −3(x − 4) #?

Answer 1

#x = -19#

distribute both sides #-4x - 4 -3 = -3x + 12# add #4x# to both sides and combine like terms #-7 = x + 12# subtract 12 from both sides #-19 = x#

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Answer 2

Eli Assouline

To solve the equation (-4(x + 1) - 3 = -3(x - 4)), follow these steps:

Distribute the terms: (-4x - 4 - 3 = -3x + 12).
Combine like terms: (-4x - 7 = -3x + 12).
Move all terms involving (x) to one side and constants to the other side by adding (4x) to both sides: (-7 = x + 12).
Subtract 12 from both sides: (-19 = x).

So, the solution to the equation is (x = -19).

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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.