Step-by-step Solution

Solve the equation $\frac{2x-9}{10}+\frac{2x-3}{2x-1}=\frac{x}{5}$

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Step-by-step explanation

Problem to solve:

$\frac{2x-9}{10}+\frac{2x-3}{2x-1}=\frac{x}{5}$

Learn how to solve rational equations problems step by step online.

$\frac{2x-9}{10}+\frac{2x-3}{2x-1}+\frac{-x}{5}=0$

Unlock this full step-by-step solution!

Learn how to solve rational equations problems step by step online. Solve the equation (2x-9)/10+(2x-3)/(2x-1)=x/5. Grouping terms. Take \frac{-1}{5} out of the fraction. Combine \frac{2x-9}{10}+\frac{2x-3}{2x-1}-\frac{1}{5}x in a single fraction. Adding 2x and -2x.

Final Answer

$x=\frac{21}{2}$

Problem Analysis

$\frac{2x-9}{10}+\frac{2x-3}{2x-1}=\frac{x}{5}$

Main topic:

Rational equations

Time to solve it:

~ 0.14 seconds