+14915 Plz help 1/5 + 5/x = 12/x + 1/12 solve for x
Hello Guest!
\( \frac{1}{5}+\frac{5}{x}=\frac{12}{x}+\frac{1}{12}\) | Bring x terms to the left, constants
to the right.
\(\frac{5}{x}-\frac{12}{x}=\frac{1}{12}-\frac{1}{5}\) |Common denominator = \(5\cdot 12\cdot x\),
bring the terms to this denominator.
\(\frac{5\cdot 5\cdot 12-12\cdot 5\cdot 12}{5\cdot 12 \cdot x}=\frac{1\cdot 5\cdot x-1\cdot 12\cdot x}{5\cdot 12 \cdot x}\) | Multiply on both sides of the equation
\(5\cdot12\cdot x\).
\(5\cdot 60-12\cdot 60=1\cdot 5x-1\cdot 12x\) |Calculate terms and change strings.
\(-7x=-420\) |\(:\ (-7)\)
\(x=\frac{-420}{-7}\)
\(x=60\)
!
