How do you solve #5( x + 8) \leq 75#?

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Answer 1 · 2018-01-16T21:48:14

See a solution process below:

First, divide each side of the inequality by #color(red)(5)# to eliminate that need for parenthesis while keeping the inequality balanced:

#(5(x + 8))/color(red)(5) <= 75/color(red)(5)#

#(color(red)(cancel(color(black)(5)))(x + 8))/cancel(color(red)(5)) <= 15#

#x + 8 <= 15#

Now, subtract #color(red)(8)# from each side of the inequality to solve for #x# while keeping the inequality balanced:

#x + 8 - color(red)(8) <= 15 - color(red)(8)#

#x + 0 <= 7#

#x <= 7#