twice the difference of a number and 3 is equal to three times the sum of a number and 4

Question

find the number of above question

Answer 1

Let x = the unknown number

• twice the difference of a number and 3:  2(x-3)
• is equal to three times the sum of a number and 4:  = 3(x+4)

 

 

2(x-3) = 3(x+4)

 

2x - 6 = 3x + 12

 

-18 = x

 

Check:

2(x-3) = 3(x+4)

2(-18-3) = 3(-18+4)

2(-21) = 3(-14)

-42 = -42

Check!