Question 223711
The the sum of of four times a number and three is the same as the difference of twice the number and eleven. Find the number.


Step 1.  Let x be a number


Step 2.  Let 4x+3 be the sum of four times a number and three.


Step 3.  Let 2x-11 be the difference of twice the number and eleven.


Step 4.  Set Steps 2 and 3 to be equal:  {{{4x+3=2x-11}}} since the the sum of of four times a number and three is the same as the difference of twice the number and eleven.


*[invoke explain_simplification "4x+3=2x-11" ]


Step 5. ANSWER:  The number is -7.


I hope the above steps were helpful.


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Good luck in your studies!


Respectfully,
Dr J