How do you solve #-2x - 6= 14+ 3x#?

2 Answers
Alan P.
Mar 14, 2018

#x=-4#

Explanation:

Given:#color(white)("XXXXXXXXXXXXXX")-2x-6=color(white)("x")14+3x#
Add #6# to both sides:#color(white)("XXXXXXX")ul(color(white)("xxxx")+6)=ul(+6color(white)("xxxxxxx"))#
#color(white)("XXXXXXXXXXXXXXXXXX")-2xcolor(white)("xxxx")=20+3x#
Subtract #x# from both sides:#color(white)("XXX")ul(-3xcolor(white)("xxxx"))=ul(color(white)("xxx")-3x)#
#color(white)("XXXXXXXXXXXXXXXXXX")-5xcolor(white)("xxxx")=20#
Divide both sides by #(-5)color(white)("XX")ul(div (-5)color(white)("xx"))=ul(div(-5))#
#color(white)("XXXXXXXXXXXXXXXXXXXX")xcolor(white)("xxx")=-4#

Jade · Mahek ☮
Mar 14, 2018

The answer is #x=-4.#

Explanation:

#-2x-6=14+3x#

#-2x-3x=14+6 #

(Transferring #3x# to LHS and #-6# to RHS changes their signs i.e. + becomes - and vice versa)

#-5x=20#

#x=20/-5#

#x=-4.#

Hope this helps. :)

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