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

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

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Answer 1 · 2017-10-03T23:47:32

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

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