twice the sum of a number and 8 is equal to three times the difference of the number and 7

Question

twice the sum of a number and 8 is equal to three times the difference of the number and 7

Answer 1

Hi Jack.

 

Let's let x be the number

Then let's take the sentence posted and turn that into an algebraic equation

 

2(x+8) = 3(x-7)

 

distribute

2x+16 = 3x-21

 

Subtract 2x from both sides

2x+16-2x = 3x-21-2x

16 = x-21

 

Add 21 to both sides

16+21 = x-21+21

37=x