#(7-4x)/6 =1# How to solve for x?

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Answer 1 · 2018-03-15T17:20:37

See a solution process below:

First, multiply each side of the equation by #color(red)(6)# to eliminate the fraction while keeping the equation balanced:

#color(red)(6) xx (7 - 4x)/6 = color(red)(6) xx 1#

#cancel(color(red)(6)) xx (7 - 4x)/color(red)(cancel(color(black)(6))) = 6#

#7 - 4x = 6#

Next, subtract #color(red)(7)# from each side of the equation to isolate the #x# term while keeping the equation balanced:

#7 - color(red)(7) - 4x = 6 - color(red)(7)#

#0 - 4x = -1#

#-4x = -1#

Now, divide each side of the equation by #color(red)(-4)# to solve for #x# while keeping the equation balanced:

#(-4x)/color(red)(-4) = (-1)/color(red)(-4)#

#(color(red)(cancel(color(black)(-4)))x)/cancel(color(red)(-4)) = 1/4#

#x = 1/4#