Six times the difference of twice a number and 10 yields the number increased by 28. What is the number?
x = the number
6(2x - 10) = x + 28 {six times the difference of twice the number and 10 equals the number plus 28}
12x - 60 = x + 28 {used distributive property}
11x - 60 = 28 {subtracted x from each side}
11x = 88 {added 60 to each side}
x = 8 {divided each side by 11}
the number is 8
- Algebra House
6(2x - 10) = x + 28 {six times the difference of twice the number and 10 equals the number plus 28}
12x - 60 = x + 28 {used distributive property}
11x - 60 = 28 {subtracted x from each side}
11x = 88 {added 60 to each side}
x = 8 {divided each side by 11}
the number is 8
- Algebra House