Question

Find the value of x from the given equation $\frac{2}{9}+\text{2x}=\frac{6}{9}$.

• A. $\text{x}=\frac{1}{9}$
• B. $\text{x}=\frac{4}{9}$
• C. $\text{x}=\frac{2}{9}$
• D. $\text{x}=\frac{3}{9}$
  

Answer 1

The correct option is C $\text{x}=\frac{2}{9}$

$\text{Given expression,}$
$\frac{2}{9}+\text{2x}=\frac{6}{9}$

$\text{Subtract}\frac{2}{9}\text{from both sides}$

$⟹\frac{2}{9}+\text{2x}-\frac{2}{9}=\frac{6}{9}-\frac{2}{9}$

$⟹\text{2x}=\frac{4}{9}$

$\text{Divide with}2\text{on both sides}$

$⟹\frac{\text{2x}}{\text{2}}=\frac{4}{9}\times \frac{1}{2}$

$⟹\text{x}=\frac{2}{9}$