How do you solve #2x + 6= 7x - 8#?

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Answer 1 · 2017-02-19T20:47:16

See the entire solution process below:#x = 14/5#

First, subtract #color(red)(2x)# and add #color(blue)(8)# to each side of the equation to isolate the #x# term while keeping the equation balanced:

#2x + 6 - color(red)(2x) + color(blue)(8) = 7x - 8 - color(red)(2x) + color(blue)(8)#

#2x - color(red)(2x) + 6 + color(blue)(8) = 7x - color(red)(2x) - 8 + color(blue)(8)#

#0 + 14 = 5x - 0#

#14 = 5x#

Now, divide each side of the equation by #color(red)(5)# to solve for #x# while keeping the equation balanced:

#14/color(red)(5) = (5x)/color(red)(5)#

#14/5 = (color(red)(cancel(color(black)(5)))x)/cancel(color(red)(5))#

#14/5 = x#

#x = 14/5#