How do you solve #5+ 2x = 8- x#?

1 Answer
seol
Nov 27, 2016

#x=1#

Explanation:

equation given #\rArr5+2x=8-x#

calculation

  • add #x# to both sides #5+2x\color(red)(+x)=8\cancel(-x)\cancel(\color(red)(+x))#
    simplify #5+3x=8#
  • subtract 5 from both sides #\cancel(5)\cancel(\color(olive)(-5))+3x=8\color(olive)(-5)#
    simplify #3x=3#
  • divide both sides by 3 #(\cancel(3)x)/\cancel(\color(blue)(3))=3/\color(blue)(3)#
    solution: #x=3/3=1#

checking
#5+2(1)\stackrel{?}{=}8-(1)#
#5+2\stackrel{?}{=}7#
#7=7\color(green)(\sqrt())#

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