# How to write a justification for Line 2, Line 3, and Line 4? Explain why you chose each justification. Line 1 5x – 2 = 3x + 7 Line 2 2x – 2 = 7 Line 3 2x = 9 Line 4 x = 4.5

Oct 9, 2015

See Explanation (below) for Justification of each derived line

#### Explanation:

Line 1:color(white)("XXX") 5x – 2 = 3x + 7

$\textcolor{w h i t e}{\text{XXXXXXXX}}$Subtract $3 x$ from both sides of Line 1
Line 2:color(white)("XXX")2x – 2 = 7

$\textcolor{w h i t e}{\text{XXXXXXXX}}$Add $2$ to both sides of Line 2
Line 3:$\textcolor{w h i t e}{\text{XXX}} 2 x = 9$

$\textcolor{w h i t e}{\text{XXXXXXXX}}$Divide both sides of Line 3 by $2$
Line 4:$\textcolor{w h i t e}{\text{XXX}} x = 4.5$