How do you solve #6x + 14= - 77- 7x#?

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Answer 1 · 2018-06-05T01:12:28

#x = -7#

#6x + 14 = -77 - 7x#

To solve for the variable #x#, we have to make it by itself.

First, add #color(blue)(7x)# to both sides of the equation:
#6x + 14 quadcolor(blue)(+quad7x) = -77 - 7x quadcolor(blue)(+quad7x)#

#13x + 14 = -77#

Now subtract #color(blue)14# from both sides:
#13x + 14 quadcolor(blue)(-quad14) = -77 quadcolor(blue)(-quad14)#

#13x = -91#

Therefore,
#x = -7#

Hope this helps!