$${\frac{{\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{x}}}{{\mathtt{5}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{x}}}{{\mathtt{4}}}} = {\frac{{\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{x}}}{{\mathtt{10}}}}{\mathtt{\,-\,}}{\mathtt{1}} = {\mathtt{x}} = {\mathtt{4}}$$
That is the answer straight from the site calculator. I putit in using Math(Input=result) tab.
Now I'll do it by hand - When you do it you should line up all the equal signs.
I multiplied by 20 because 20 is the LCD Lowest common denominator and that got rid of all the fractions.
$$\frac{4x}{5}-\frac{3x}{4}=\frac{3x}{10}-1\\\\
20\times \left(\frac{4x}{5}-\frac{3x}{4}\right)=20\times
\left(\frac{3x}{10}-1\right)\\\\
16x-15x=6x-20\\\\
x=6x-20\\\\
-5x=-20\\\\
x=4$$
$${\frac{{\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{x}}}{{\mathtt{5}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{x}}}{{\mathtt{4}}}} = {\frac{{\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{x}}}{{\mathtt{10}}}}{\mathtt{\,-\,}}{\mathtt{1}} = {\mathtt{x}} = {\mathtt{4}}$$
That is the answer straight from the site calculator. I putit in using Math(Input=result) tab.
Now I'll do it by hand - When you do it you should line up all the equal signs.
I multiplied by 20 because 20 is the LCD Lowest common denominator and that got rid of all the fractions.
$$\frac{4x}{5}-\frac{3x}{4}=\frac{3x}{10}-1\\\\
20\times \left(\frac{4x}{5}-\frac{3x}{4}\right)=20\times
\left(\frac{3x}{10}-1\right)\\\\
16x-15x=6x-20\\\\
x=6x-20\\\\
-5x=-20\\\\
x=4$$
I truly hate the result from the site calculator.
The result, x=4, is correct, but the presentation, saying that both sides of the original equation are equal to x and equal to 4 is most certainly not correct.
Yes, thank you for your input Bertie,
I don't like that either, maybe Andre could put an arrow in the middle - that would be an improvement.
Andre is very busy with a great many problems and I don't want to pester him all of the time but I do hope some of these 'annoying issues' will eventually be improved.
I probably should set up a list of these more minor issues somewhere so that eventually we can talk to Andre about them.