## Thinking Mathematically (6th Edition)

step 1 Let x represent the unknown number in the problem. step 2 "two times x" = 2x " ... decreased by 3" = 2x-3 " the result is 11" is written as " = 11" step 3 The equation is $2x-3=11$ step 4 Solve the equation for x and answer the problem’s question. $2x-3=11\qquad/+3$ $2x=14\qquad/\div 2$ $x=7$ The number is 7. step 5 Check the solution in the original wording of the problem. Two times seven (14), decreased by 3 (14-3=11) gives the result 11. OK.