How do you solve #6(5+x)=10#?

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Answer 1 · 2017-01-28T17:58:57

See the entire solution process below:

First, divide each side of the equation by #color(red)(6)#:

#(6(5 + x))/color(red)(6) = 10/color(red)(6)#

#(color(red)(cancel(color(black)(6)))(5 + x))/cancel(color(red)(6)) = (2 xx 5)/(2 xx 3)#

#5 + x = (cancel(2) xx 5)/(cancel(2) xx 3)#

#5 + x = 5/3#

Now, subtract #color(red)(5)# from each side of the equation to solve for #x# while keeping the equation balanced:

#5 + x - color(red)(5) = 5/3 - color(red)(5)#

#5 - color(red)(5) + x = 5/3 - (3/3 xx color(red)(5))#

#0 + x = 5/3 - 15/3#

#x = -10/3#