How do you solve 4x + (1/2)(12x + 2) = 3?

Mar 7, 2018

$x = \frac{1}{5}$

Explanation:

$\text{distribute the bracket}$

$4 x + 6 x + 1 = 3$

$\Rightarrow 10 x + 1 = 3$

$\text{subtract 1 from both sides}$

$10 x \cancel{+ 1} \cancel{- 1} = 3 - 1$

$\Rightarrow 10 x = 2$

$\text{divide both sides by 10}$

$\frac{\cancel{10} x}{\cancel{10}} = \frac{2}{10}$

$\Rightarrow x = \frac{2}{10} = \frac{1}{5}$