Question 549685


hello, I need help solving the equation 3x/x-2=3x+5/x-1. Can anyone help?


{{{3x/(x - 2) = (3x + 5)/(x - 1)}}} 


3x(x - 1) = (x - 2)(3x + 5) ----- Cross-multiplying


{{{3x^2 - 3x = 3x^2 + 5x - 6x - 10}}}


{{{3x^2 - 3x^2 - 3x + x = - 10}}}


- 2x = - 10


x = {{{(- 10)/- 2}}}, or {{{highlight_green(5)}}}


With x being 5, the denominator DOES not equal 0, so the value of x is indeed {{{highlight_green(5)}}}


I'm sure you can do the check to determine if this equation is true, with x having a value of 5


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