# How do you solve sqrt(2x + 10 )- 6 = 2?

Feb 14, 2016

color(green)(x=27

#### Explanation:

color(blue)(sqrt(2x+10)-6=2

Add $6$ both sides:

rarrcolor(blue)(sqrt(2x+10)=2+6

rarrcolor(blue)(sqrt(2x+10)=8

Square both sides to get rid of the radical sign:

rarrcolor(blue)((sqrt(2x+10))^2=8^2

rarrcolor(blue)(2x+10=64

Subtract $10$ both sides:

rarrcolor(blue)(2x+10-10=64-10

rarrcolor(blue)(2x+10-10=64-10

$\rightarrow \textcolor{b l u e}{2} x = 54$

Divide both sides by $2$:

rarrcolor(blue)((2x)/2=54/2

rarrcolor(blue)((cancel2x)/cancel2=27

rArrcolor(green)(x=27