Question

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`

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 .