Question

Find the solution of ×\2-1/5=×\3+1/4 please help me with this​

Answer 1

Answer:

$x=\frac{27}{10}$

Step-by-step explanation:

Assuming that the beginning equation is $\frac{x}{2} -\frac{1}{5} =\frac{x}{3} +\frac{1}{4}$

First, we should find the common denominator of each of fractions. For all of these denominators, 60 is the smallest common denominator

$\frac{x}{2}(\frac{30}{30}) -\frac{1}{5}(\frac{12}{12}) =\frac{x}{3}(\frac{20}{20}) +\frac{1}{4} (\frac{15}{15}) \\\\\frac{30x}{60}-\frac{12}{60} =\frac{20x}{60}+\frac{15}{60}$

Now, we can multiply each side by 60, which will remove the fractions

$30x-12=20x+15$

Now we can add 12 to each side

$30x=20x+27$

Now subtract 20x from each side

$10x=27$

And lastly, divide each side by 10

$x=\frac{27}{10}$