Solve the equation for x (show all work and simplify answer) 8(x-5)+x=9(x-5)+5 10/11/2013 | Theresa from Milltown, NJ | 3 Answers | 0 Votes Mark favorite Subscribe Comment
Hi Theresa; 8(x-5)+x=9(x-5)+5 Let's combine as much as possible... 8x-40+x=9x-45+5 9x-40=9x-40 Let's cancel -40... 9x-40=9x-40 9x=9x Let's cancel 9... 9x=9x x=x 10/11/2013 | Vivian L. Best answer Comment
8(x-5) + x = 9(x-5) + 5 Distribute through. 8x - 40 + x = 9x - 45 + 5 Combine like terms. 8x + x - 40 = 9x - 45 + 5 9x - 40 = 9x -40 Add 40 to both sides. 9x = 9x Subtract 9x from both sides. 0 = 0 Solution is true for all real numbers. (-∞, ∞) 10/11/2013 | Jason S. Comment
The problem with the recipe "PEMDAS " is that you should know that it's really "LPEMDAS" where the "L" stands for look! 8(x-5)+x=9(x-5)+5 subtract 5 from both sides and have 8(x-5)+x-5=9(x-5) or that 8(x-5)+(x-5)=9(x-5) or that 9(x-5)=9(x-5) an identity. It holds for all numbers. 10/11/2013 | Michael F. Comment