Question 235336


{{{3(x-5)+7=16}}} Start with the given equation.



{{{3x-15+7=16}}} Distribute.



{{{3x-8=16}}} Combine like terms on the left side.



{{{3x=16+8}}} Add {{{8}}} to both sides.



{{{3x=24}}} Combine like terms on the right side.



{{{x=(24)/(3)}}} Divide both sides by {{{3}}} to isolate {{{x}}}.



{{{x=8}}} Reduce.



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Answer:


So the solution is {{{x=8}}}



Check:


{{{3(x-5)+7=16}}}  Start with the given equation.



{{{3(8-5)+7=16}}} Plug in {{{x=8}}}



{{{3(3)+7=16}}} Subtract.



{{{9+7=16}}} Multiply



{{{16=16}}} Add. Since the equation is true, this verifies the answer.