How do you solve #\frac { x + 2} { 6} + \frac { x + 1} { 4} = 6#?

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Answer 1 · 2017-06-07T14:13:45

#color(purple)(x=13#

#(x+2)/6+(x+1)/4=6#

multiply both sides by 24

#:.4(x+2)+6(x+1)=144#

#:.4x+8+6x+6=144#

#:.4x+6x=144-8-6#

#:.10x=130#

#:.color(purple)(x=13#

substitute #color(purple)(x=13#

#:.((color(purple)13)+2)/6+((color(purple)13)+1)/4=6#

#:.15/6+14/4=6#

#:.(60+84)/24=6#

#:.144/24=6#

#:.color(purple)(6=6#