# How do you solve 4d + 6= - 8+ 6d + 2?

Jul 15, 2017

$d = 6$

#### Explanation:

$4 d + 6 = - 8 + 6 d + 2$

Simplify the right side. $- 8 + 2 = - 6$

$4 d + 6 = 6 d - 6$

Add $6$ to both sides.

$4 d + 6 + 6 = 6 d - 6 + 6$

$4 d + 12 = 6 d$

Subtract $4 d$ from both sides.

$4 d - 4 d + 12 = 6 d - 4 d$

$12 = 2 d$

Divide both sides by $2$.

$\frac{12}{2} = \frac{2 d}{2}$

$6 = d$

Therefore, $d = 6$