How do you solve #3x - 7> 35#?

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Answer 1 · 2017-06-11T00:50:02

See a two step solution process below:

Step 1) Add #color(red)(7)# to each side of the inequality to isolate the #x# term while keeping the inequality balanced:

#3x - 7 + color(red)(7) > 35 + color(red)(7)#

#3x - 0 > 42#

#3x > 42#

Step 2) Divide each side of the inequality by #color(red)(3)# to solve for #x# while keeping the inequality balanced:

#(3x)/color(red)(3) > 42/color(red)(3)#

#(color(red)(cancel(color(black)(3)))x)/cancel(color(red)(3)) > 14#

#x > 14#