Question 92544
{{{5x-4(x+9)=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+36}}} Add 36 to both sides



{{{1x-2x=-3+36}}} Subtract 2x from both sides




{{{-1 x=-3+36}}} 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=(33)/(-1)}}} 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(-33)-4(-33)-36=2(-33)-3}}} Plug in {{{x=-33}}}





{{{-165+132-36=-66-3}}} Multiply 



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