Ten increased by 6 times a number is the same as 4 less than 4 times the number. What is the number?

Answer 1

The number is #-7#

The easiest way to solve this equation is to write an equation and solve for the unknown number. This is the equation: #10+6x=4x-4# Subtract each side by 4x. #10+2x=-4# Subtract both sides by 10. #2x=-14# Divide by 2 on each side to isolate #x#. #x=-7# So you have your answer: the number is #-7#. To double-check your answer, you can plug this number back into the equation and see if it comes out to be true: #10+6(-7)=4(-7)-4# #10-42=-28-4# #-32=-32# This equation is true, so you know #-7# has to be the unknown number .

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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.