What is x/(4x-5)-(x-1)/(6x) ?

The solution to x/(4x-5)-(x-1)/(6x) is (2x^2+9x-5)/(6x(4x-5))

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simplify x/(4x-5)-(x-1)/(6x)

simplify

\frac{x}{4 x - 5} - \frac{x - 1}{6 x}

\frac{2 x ^{2} + 9 x - 5}{6 x ( 4 x - 5 )}

Solution steps

\frac{x}{4 x - 5} - \frac{x - 1}{6 x}

Least Common Multiplier of

4 x - 5, 6 x : 6 x (4 x - 5)

Adjust Fractions based on the LCM

= \frac{6 x ^{2}}{6 x ( 4 x - 5 )} - \frac{( x - 1 ) ( 4 x - 5 )}{6 x ( 4 x - 5 )}

Apply the fraction rule:

\frac{a}{c} - \frac{b}{c} = \frac{a - b}{c}

= \frac{6 x ^{2} - ( x - 1 ) ( 4 x - 5 )}{6 x ( 4 x - 5 )}

Simplify

6 x^{2} - (x - 1) (4 x - 5) : 2 x^{2} + 9 x - 5

= \frac{2 x ^{2} + 9 x - 5}{6 x ( 4 x - 5 )}

\frac{9}{8}

(7 x - 3 y)^{2}

- 6 \times 2

32 + 22

y \times y

What is x/(4x-5)-(x-1)/(6x) ?
The solution to x/(4x-5)-(x-1)/(6x) is (2x^2+9x-5)/(6x(4x-5))