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

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Answer 1 · 2018-04-25T20:13:59

#x =-4#

#6x + 2 = 2x - 14#

Subtract #color(red)2# from both sides of the equation:
#6x + 2 quadcolor(red)(-quad2) = 2x - 14 quadcolor(red)(-quad2)#

#6x = 2x -16#

Subtract #color(red)(2x)# from both sides of the equation:
#6x quadcolor(red)(-quad2x) = 2x - 16 quadcolor(red)(-quad2x)#

#4x = -16#

Divide both sides by #4#:

#(4x)/color(red)(4) = (-16)/color(red)(4)#

#x =-4#

Hope this helps!