Question 892085

(3/x) + (5/x + 2) = 2;
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If this is: {{{3/x + 5/(x + 2) = 2}}}? Then {{{x <> 0}}}, and {{{x <> - 2}}}, and:
3(x + 2) + 5x = 2(x)(x + 2) ------- Multiplying by LCD, x(x + 2)
{{{3x + 6 + 5x = 2x^2 + 4x}}}
{{{8x + 6 = 2x^2 + 4x}}}
{{{2x^2 + 4x - 8x - 6 = 0}}}
{{{2x^2 - 4x - 6 = 0}}}
{{{2(x^2 - 2x - 3) = 2(0)}}}
{{{x^2 - 2x - 3 = 0}}}
(x - 3)(x + 1) = 0
{{{highlight_green(x = 3)}}}          OR            {{{highlight_green(x = - 1)}}}