How do you solve #7( 3+ 6x ) = 315#?

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Answer 1 · 2018-04-21T18:48:18

See a solution process below:

First, divide each side of the equation by #color(red)(7)# to eliminate the need for parenthesis while keeping the equation balanced:

#(7(3 + 6x))/color(red)(7) = 315/color(red)(7)#

#(color(red)(cancel(color(black)(7)))(3 + 6x))/cancel(color(red)(7)) = 45#

#3 + 6x = 45#

Next, subtract #color(red)(3)# from each side of the equation to isolate the #x# term while keeping the equation balanced:

#3 - color(red)(3) + 6x = 45 - color(red)(3)#

#0 + 6x = 42#

#6x = 42#

Now, divide each side of the equation by #color(red)(6)# to solve for #x# while keeping the equation balanced:

#(6x)/color(red)(6) = 42/color(red)(6)#

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

#x = 7#