Question

Twice a number decreased by 4 is equal to the sum of 6 and the product of 3 and a number. What is the number

Answer 1

Twice a number decreased by 4 is equal to the sum of 6 and the product of 3 and a number.

n - a number

`2n-4=6+3n\qquad\text{add 4 to both sides}\\\\2n=10+3n\qquad\text{subtract 3n from both sides}\\\\-n=10\qquad\text{change the signs}\\\\\boxed{n=-10}`

Answer: The number = -10