SOLUTION: 5x-4(x+9)=2x-3 5x-4x+36=2x-3 1x+36=2x-3 1x+36-1x=2x-3-1x 36=1x-3 36+3=1x-3+3 39=1x

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: 5x-4(x+9)=2x-3 5x-4x+36=2x-3 1x+36=2x-3 1x+36-1x=2x-3-1x 36=1x-3 36+3=1x-3+3 39=1x       Log On


   

Question 92544: 5x-4(x+9)=2x-3
5x-4x+36=2x-3
1x+36=2x-3
1x+36-1x=2x-3-1x
36=1x-3
36+3=1x-3+3
39=1x

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5x-4%28x%2B9%29=2x-3

5x-4x-36=2x-3 Distribute. This is where you made your error. It should be -36 not 36


1x-36=2x-3 Combine the variable terms 5x and -4x on the left side to get 1x



1x=2x-3%2B36 Add 36 to both sides


1x-2x=-3%2B36 Subtract 2x from both sides



-1+x=-3%2B36 Combine like terms 1+x and -2+x on the left side to get -1+x




-1+x=33 Combine like terms 36 and -3 on the left side to get 33





x=%2833%29%2F%28-1%29 Now divide both sides by -1 to isolate and solve for x


x=+-33 Reduce



So our answer is
x=+-33



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Check:
5x-4x-36=2x-3 Start with the given equation


5%28-33%29-4%28-33%29-36=2%28-33%29-3 Plug in x=-33




-165%2B132-36=-66-3 Multiply


-69=-69 Combine like terms. Since the two equations are equal, this verifies our answer.