# How do you solve 2( 2w + 5) + 2w = 146?

Jan 8, 2018

$w = \frac{68}{3}$

#### Explanation:

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

$4 w + 10 + 2 w = 146$

$\Rightarrow 6 w + 10 = 146$

$\text{subtract 10 from both sides}$

$6 w \cancel{+ 10} \cancel{- 10} = 146 - 10$

$\Rightarrow 6 w = 136$

$\text{divide both sides by 6}$

$\frac{\cancel{6} w}{\cancel{6}} = \frac{136}{6}$

$\Rightarrow w = \frac{68}{3} \text{ is the solution}$

Jan 8, 2018

$\textcolor{red}{w = 22.67}$

#### Explanation:

1) Using BIDMAS or respectively BODMAS or similar, B stands for brackets, so first you multiply the bracket:

$\textcolor{red}{2 \cdot 2 w = 4 w}$
$\textcolor{red}{2 \cdot 5 = 10}$

2) Re-input this into the equation, removing the brackets:

$\therefore$ $\textcolor{g r e e n}{4 w + 10 + 2 w = 146}$

3) Collecting like terms give us:

$\textcolor{b l u e}{6 w + 10 = 146}$

4) Solve like an equation:

$\textcolor{b l u e}{6 w = 136} \left(- 10\right)$

$\textcolor{b l u e}{w = \frac{136}{6} = 22.666 \ldots}$

$\textcolor{red}{w = 22.67}$

Jan 8, 2018

$w = \frac{68}{3}$

#### Explanation:

Given:$\textcolor{w h i t e}{\text{d}} 2 \left(2 w + 5\right) + 2 w = 146$

divide everything on both sides of the = by 2 giving:

$2 w + 5 + w = 73$

$3 w + 5 = 73$

Subtract 5 from both sides

$3 w = 68$

Divide both sides by 3

$w = \frac{68}{3}$