Question

8(x/2-5)=15(x/3+1)
$8( \frac{x}{2} - 5) = 15( \frac{x}{3} + 1)$

Answer 1

Hey mate!

$8( \frac{x}{2} - 5) = 15( \frac{x}{3} + 1) \\ \\ 8( \frac{x - 10}{2} ) = 15( \frac{x + 3}{3} ) \\ \\4(x - 10) = 5(x + 3) \\ \\ 4x - 40 = 5x + 15 \\ \\ 4x - 5x = 15 + 40 \\ \\ - x = 55 \\ \\ \therefore \: x = - 55$

Thanks for the question!

Answer 2

HERE IS YOUR ANSWER OK

I BEST STEP FOR SOLUTION ONLY THIS QUESTION NOT ALL QUESTIONS TO SOLVE OK

1 If you don’t particular care for the easiest solution, one could do the following steps:

2 Bring everthing on one side so you have both fraction on one side of equal sign and the difference equal to o
Find the
.
3. Write both original fractions as with the least common denominator.

4. Then by logical deduction we know we can set numerator to 0 and solve for x, similar as multiplication.

second method....

The solution for this is quite easy and do not require factorization, as many have pointed out. However, I would like to share yet another method if the fractions involved require more steps to solve. The method is known as Componendo and Dividendo ratios. Given ab=cd, the Componendo is a+bb=c+dd and the Dividendo is a−bb=c−dd, whereas the Componendo-Dividendo ratio gives a+ba−b=c+dc−d.

OK I hope I help you