Question

Solve: $\frac{2x+7}{5}-\frac{3x+11}{2}=\frac{2x+8}{3}-\frac{5}{1}$.

Answer 1

We are given,

$\frac{2x+7}{5}-\frac{3x+11}{2}=\frac{2x+8}{3}-\frac{5}{1}$

$\therefore \frac{(4x+14)-(15x+55)}{10}=\frac{(2x+8)-\left(15\right)}{3}$

$\therefore \frac{(-11x-41)}{10}-\frac{(2x-7)}{3}=0$

$\therefore (-33x-123)-(20x-70)=0$

$\therefore -53x-53=0$

$\therefore x=\frac{53}{-53}=-1$

So, value of $x$ is $-1$