How do you solve #\frac { 2} { 3} m - 8= 4#?

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Answer 1 · 2016-12-28T03:55:29

#m = 18#

Step 1) Add #color(red)(8)# to each side of the equation to isolate the #m# term and keep the equation balanced:

#2/3m - 8 + color(red)(8) = 4 + color(red)(8)#

#2/3m - 0 = 12#

#2/3m = 12#

Step 2) Multiply each side of the equation by #color(blue)(3/2)# to solve for #m# while keeping the equation balanced:

#color(red)(3/2) xx 2/3m = color(red)(3/2) xx 12#

#cancel(color(red)(3))/cancel(color(red)(2)) xx color(red)(cancel(color(black)(2)))/color(red)(cancel(color(black)(3)))m = 18#

#m = 18#