Question

Consider the following statement.

Fourteen more than 12 times the number equals 37 less than 11 times a number.
a. Write an equation to represent the statement. Use n for the unknown number.

b. Solve the equation.

c. Explain how you solve the equation.

Answer 1

14+12n=11n-37

subtract 11n from both sides and subtract 14 from both sides

n= -51

Answer 2

12x + 14 = 11x - 37

12x - 11x = -37 - 14
x = -51

you put all the x's on one side and everything else on the other side, and then solve the equation by simplifying