The sum of twice a number and 12 is equal to five times the number

Question

Need help with this one!!

Answer 1

Good evening. This question can be a little confusing.

First let's establish a variable to replace the number we are looking for in the problem.

A number = X

Now, develop both sides of the equation.

sum of twice a number and 12 (first half of the equation)

sum = addition

twice = times 2

2X+12

five times the number (second half the equation)

5X

Set both halves of the equation equal to each other:

2X + 12 = 5X

Isolate the variable on one side by subtracting 2X from both sides of the equation, keeping it balanced.

2X- 2X +12 = 5X - 2X

12 = 3X

Now divide both sides by 3 to get the variable alone.

12/3 = 3X/3

4 = X

Always check your work by putting the value back into the original equation.

2(4)+ 12 = 5 (4)

8 + 12 = 20

20 = 20

Answer 2

2n+12=5n

12=3n

n=4