Question 27953
Go through each word and translate into math, "Eight (8) times (*) the sum of a number and six (x+6) is the same as (=) 10 more than (10+) twice the number (2x)."
So write:
{{{8*(x+6)=10+2x}}}That's the hard part, now distribute:
{{{8x+48=10+2x}}}subtract 2x & subtract 48 from both sides:
{{{6x=-38}}}Divide:
{{{x=-38/6=-19/3}}}
-19/3 then is your answer. Not very usual that a story problem comes back with a fractional answer, but that's the only number that will work for your problem.