How do you solve $6/x+3=12/x$ ?

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Answer 1 · 2016-11-09T22:35:53

$x = 2$

Step 1) Multiply each side of the equation by $x$ to eliminate the fraction and to keep the equation balanced:

$x(6/x + 3) = x(12/x)$

$6 + 3x = 12$

Step 2) Solve for $x$ while keeping the equation balanced:

$6 + 3x - 6 = 12 - 6$

$3x = 6$

$(3x)/3 = 6/3$

$x = 2$

How do you solve 6/x+3=12/x6/x+3=12/x?