Question

Eight more than seven times a number is equal to four more than five times the number. What is the number?

Answer 1

Answer: -2

Explanation:

convert it to a equation:

7x+8=5x+4

move x's to a side and numbers to the other

2x=-4

divide by 2

x=-2

Answer 2

Let us consider the number to be 'n'.

Given condition :

• 7n + 8 = 5n + 4

Subtract '5n' from each side :

• 7n + 8 - 5n = 5n + 4 - 5n
• 2n + 8 = 4

Subtract '8' from each side :

• 2n + 8 - 8 = 4 - 8
• 2n = -4

Divide '2' from each side :

• 2n/2 = -4/2
• 
  `\fbox {n = -2}`

∴ The number is -2.