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

1 Answer
Bridget K.
Oct 3, 2017

The number is #-7#

Explanation:

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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