Question

Find the value of $\text{x}$ for the following equation:
$\frac{2}{3}\left[2\right(\text{x + 3})+\text{6x}]=16$

• A. 4.6
• B. 2.25
• C. 3.35
• D. 6.35

Answer 1

The correct option is B 2.25

Given,
$\frac{2}{3}\left[2\right(\text{x + 3})+\text{6x}]=16$

Multiplying by 3 on both sides

$⟹2\left[2\right(\text{x + 3})+\text{6x}]=16\times 3$

$⟹2\left(\text{2x + 6}\right)+\text{12x}=16\times 3$

$⟹4\text{x + 12 + 12x = 48}$

$⟹\text{16x = 48 - 12}$

$⟹\text{x}=\frac{36}{16}$

$⟹\text{x}=2.25$