Question 120542


{{{15x+24=8(10+3x)-2}}} Start with the given equation




{{{15x+24=80+24x-2}}} Distribute



{{{15x+24=24x+78}}} Combine like terms on the right side



{{{15x=24x+78-24}}}Subtract 24 from both sides



{{{15x-24x=78-24}}} Subtract 24x from both sides



{{{-9x=78-24}}} Combine like terms on the left side



{{{-9x=54}}} Combine like terms on the right side



{{{x=(54)/(-9)}}} Divide both sides by -9 to isolate x




{{{x=-6}}} Divide


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Answer:

So our answer is {{{x=-6}}}