When you multiply a number by 4 and then subtract 7, the result is the same as if you first subtracted 7 from the

same number and then multiplied by 11. What is the number?

A.) 10

B.) 13

C.) 19

D.) 23

E.) 31

same number and then multiplied by 11. What is the number?

A.) 10

B.) 13

C.) 19

D.) 23

E.) 31

**x = the number**

4x - 7 = (x - 7)11 {multiply by 4 and subtract 7 is the same as subtract 7 then multiply by 11}

4x - 7 = 11x - 77 {used distributive property}

70 = 7x {subtracted 4x and added 77 to each side}

x = 10 {divided each side by 7}

**A.) 10**

**Ask Algebra House**