How do you solve #2( x - 3) - 4= 8- 2( x - 4)#?

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Answer 1 · 2017-07-22T01:23:12

x=13/2

Simplify both left and right sides via distribution and combining like terms:

#color(red)2color(blue)((x-3))-4=8color(red)(-2)color(blue)((x-4))#

#2xcolor(green)(-6-4)=color(green)8-2xcolor(green)(+8)#

#2x-10=16-2x#

Add #2x# and #10# to both sides:

#2x+2xcancel(-10+10)=16+10cancel(-2x+2x)#

#4x=26#

Divide #4# to both sides:

#cancel4/cancel4x=26/4#

#x=26/4#

Simplify the fraction:

#x=(26divide2)/(4divide2)=13/2#