How do you solve # \frac { 2( 3x - 8) } { 9} - \frac { 5( x - 3) } { 3} = \frac { 3( x - 8) } { 4}#?

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Answer 1 · 2017-01-31T17:09:23

#x=332/63#

#x approx 5.2698#

#2/9(3x-8)-5/3(x-3)=3/4(x-8)#

#2/9(3x-8)-color(blue)(15/9)(x-3)=3/4(x-8)#

#2(3x-8)-15(x-3)=27/4(x-8)#

Distribute all terms (get rid of parentheses):
#color(green)(6x)-16-color(green)(15x)+45=color(green)(27/4x)-54#

Combine like terms
#-9x-27/4x+29=-54#

#-63/4x=-83#

#x=(-83)(-4/63)#

#x=332/63#

#x approx 5.2698#