Question

solve
x+2/x+5 = x/x+6​

Answer 1

Given:-

• (x + 2)/(x + 5) = x/(x + 6)

⠀

To find:-

• Value of x.

⠀

Solution:-

According to the question,

→ (x + 2)/(x + 5) = x/(x + 6)

→ x(x + 5) = (x + 2)(x + 6)

→ x² + 5x = x² + 6x + 2x + 12

→ x² + 5x = x² + 8x + 12

→ x² - x² = 8x - 5x + 12

→ 0 = 3x + 12

→ 3x = -12

→ x = -12/3

→ x = -4

⠀

Hence,

• The value of x is -4.

Answer 2

Given :-

• $\large{\tt{\frac{(x + 2)}{(x + 5)} = \frac{x}{x + 6} }}$

To find :-

• Value of x.

Solution :-

$~~~~~~~~~~~~~$ According to the question,

:$\implies$ $\large{\tt{\frac{(x + 2)}{(x + 5)} = \frac{x}{x + 6}}}$

:$\implies$ $\large{\tt{x(x + 5) = (x + 2)(x + 6)}}$

:$\implies$ $\large{\tt{x² + 5x = x² + 6x + 2x + 12}}$

:$\implies$ $\large{\tt{x² + 5x = x² + 8x + 12}}$

:$\implies$ $\large{\tt{x² - x² = 8x - 5x + 12}}$

:$\implies$ $\large{\tt{0 = 3x + 12}}$

:$\implies$ $\large{\tt{3x = -12}}$

:$\implies$ $\large{\tt{x = \frac{ - 12}{3} }}$

:$\implies$ $\large{\tt{x = -4}}$

Hence,

• The value of x is -4.