# Question #03397

Dec 23, 2017

$x = 8$

#### Explanation:

$\left(2 x + 10\right) - \left(8 x + 48\right) = 10$

$2 x + 10 - 8 x + 48 = 10$

$- 6 x + 58 = 10$

$6 x = 58 - 10$

$6 x = 48$

Therefore,

$x = \frac{48}{6}$

$x = 8$

Dec 23, 2017

$x = 8$

#### Explanation:

$\text{distribute the brackets on left side of equation}$

$2 x + 10 - 8 x + 48 = 10$

$\Rightarrow - 6 x + 58 = 10$

$\text{subtract 58 from both sides}$

$= - 6 x \cancel{+ 58} \cancel{- 58} = 10 - 58$

$\Rightarrow - 6 x = - 48$

$\text{divide both sides by } - 6$

$\frac{\cancel{- 6} x}{\cancel{- 6}} = \frac{- 48}{- 6}$

$\Rightarrow x = 8$

$\textcolor{b l u e}{\text{As a check}}$

Substitute this value into the eft side of the equation and if equal to the right side then it is the solution.

$2 \left(8 + 5\right) - 8 \left(8 - 6\right) = 26 - 16 = 10$

$\Rightarrow x = 8 \text{ is the solution}$