Seven times a number is equal to 12 more than 3 times the number

Answer 1

Let's let x represent the number. Then "seven times the number" would be written as : 7x

The words ," is equal to" can be replaced with an equal sign: =

The expression, " 12 more than 3 times the number" would be written as: 12 + 3x

Combining these gives us the equation: 7x = 12 + 3x

To determine the value of x, combine like terms and use inverse operations:

7x = 12 + 3x

7x -3x = 12 + 3x - 3x

4x = 12

4x/4 = 12/4

x = 3

To check: 7*3 = 12 + 3*3

21 = 12 + 9