Question

Five times the sum of a number and six is equal to eight times the number, minus six. Find the number.

Answer 1

Answer: x=12

Explanation:

`5(x+6)=8x-6`

On the left side of the equation, open the parentheses:

`5x+30=8x-6\\\\5x+30-5x=8x-6-5x\\\\30=3x-6\\\\30+6=3x-6+6\\\\36=3x`

Divide both parts of the equation by 3:

`12=x`

`Thus,\ x=12`