Question

$\frac{3(2x+5)}{x+1}=\frac{6x}{x-2}$

Here, the value of $x$ in the above equation is .

• A. 10
• B. -10
• C. 5
• D. -5

Answer 1

The correct option is B -10

Given:

$\frac{3(2x+5)}{x+1}=\frac{6x}{x-2}$

On cross-multiplication of denominators,

$\Rightarrow 3(2x+5)\times \left(x-2\right)=\left(6x\right)\times (x+1)$

$\Rightarrow (6x+15)\times \left(x-2\right)=\left(6x\right)\times (x+1)$

$\Rightarrow 6x^2-12x+15x-30=6x^2+6x$

Subtracting $6x^2$ on both sides, we get,

$\Rightarrow -12x+15x-30=6x$

Separate like terms, we get,

$\Rightarrow -12x+15x-6x=30$

$\Rightarrow -3x=30$

$\Rightarrow x=\frac{30}{-3}$

$\Rightarrow x=-10$