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Answer 1 · 2016-10-22T22:39:20

#x = -10/7#

#9x+4 = color(red)(2(x-1)) - 4#

#9x+4 = color(red)(2x-2(1))-4#

#9x+4 = 2x-2-4#

Gather all terms containing #x# on the left hand side of the equation, and all other terms on the right hand.

#9x+color(red)(4) = color(blue)(2x)-2-4#

#9x+cancel(4)cancel(color(red)(-4))color(blue)(-2x) = cancel(2x)-2-4color(red)(-4)cancel(color(blue)(-2x))#

#9x - 2x = -2 -4 -4#

#{(9x-2x=7x),(-2-4-4=-10):}#

#=> 7x = -10#

#color(red)(7)x = -10#

#(7x)/color(red)(7) = (-10)/color(red)(7)#

#x = -10/7#