How do you solve #2+ 2x = 3( x + 3) - 2( x - 3)#?

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Answer 1 · 2017-08-13T02:40:48

#x=13#

Expand the right side by distribution.

#2+2x=(color(red)3*x)+(color(red)3*3)-2(x-3)#

#2+2x=3x+9+(color(red)(-2)*x)+(color(red)(-2)*-3)#

#2+2x=3x+9-2x+6#

Identify and combine like terms on the right side:

#2+2x=color(red)(3x)color(blue)(+9)color(red)(-2x)color(blue)(+6)#

#2+2x=x+15#

Subtract #2# from both sides:

#cancel(2color(red)(-2))+2x=x+15color(red)(-2)#

#2x=x+13#

Subtract #x# from both sides:

#2xcolor(red)(-x)=cancel(xcolor(red)(-x))+13#

#x=13#