Find the Number

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
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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

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