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}

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**