Question

solve the equation 2x+5/7x+5=2/5​

Answer 1

$\huge\underline\blue{\textbf{Required Answer :-}}$

$\huge\underline\pink{\textbf{Given :-}}$

Given Equation is ${2x + \frac{5}{7x} + 5 = \frac{2}{5}}$

$\huge\underline\purple{\textbf{To find :-}}$

The value of x in the given equation.

$\huge\underline\green{\textbf{Solution :-}}$

${2x + \frac{5}{7x} + 5 = \frac{2}{5}}$

:⟹ ${\frac{2x + 5 + 5}{7x} = \frac{2}{ 5}}$

:⟹ ${\frac{2x + 10}{7x} = \frac{2}{5}}$

:⟹ ${5(2x + 10) = 2 \times 7x}$

:⟹ ${10x + 50 = 14x}$

:⟹ ${50 = 14x - 10x}$

:⟹ ${4x = 50}$

:⟹ ${x = \frac{50}{4}}$

:⟹ ${x = 12.5}$

$\huge\underline\purple{\textbf{Hope it helps...}}$