Question

Solve for $x:\frac{x-2}{x-1}=\frac{x+4}{2x+2}$

• A. $\left\{0\right\}$
• B. $\left\{5\right\}$
• C. $\{0.-5\}$
• D. $\{0,5\}$

Answer 1

The correct option is D $\{0,5\}$

$\frac{x-2}{x-1}=\frac{x+4}{2x+2}$

$=>(x-2)(2x+2)=(x+4)(x-1)$

$=>2x^2+2x-4x-4=x^2-x+4x-4$

$=>2x^2-2x-4-x^2-3x+4=0$

$=>x^2-5x=0$

$=>x(x-5)=0$

$=>x=0$ or $x-5=0$

$=>x=0$ or $x=5$

Thus, the value of x is $0,5$