How do you solve the equation #9.5x+11-7.5x=14#?

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Answer 1 · 2017-04-12T11:36:53

Using first principles:

#x=3#

#color(blue)("Golden rule: what you do to one side of an equation you do to the other side.")#

Subtract #color(red)(11)# from both sides (moves the +11 from the left to the right)

#color(green)(9.5x+11color(red)(-11)-7.5x" "=" "14color(red)(-11))#

#9x+0-7.5x=3#

#9x-7.5x=3#

#2x=3#

Divide both sides by #color(red)(2)# (turns the 2 from #2x# into 1)

#color(green)(2/(color(red)(2))xx x=3)#

#x=3#