Question 206683
There are two ways to do this:


Method # 1



{{{5(x-1)=50}}} Start with the given equation.



{{{5(11-1)=50}}} Plug in {{{x=11}}}



{{{5(10)=50}}} Subtract



{{{50=50}}} Multiply



Since the equation is true, this means that {{{x=11}}} is a solution.



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Method # 2


{{{5(x-1)=50}}} Start with the given equation.



{{{5x-5=50}}} Distribute.



{{{5x=50+5}}} Add {{{5}}} to both sides.



{{{5x=55}}} Combine like terms on the right side.



{{{x=(55)/(5)}}} Divide both sides by {{{5}}} to isolate {{{x}}}.



{{{x=11}}} Reduce.



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Answer:


So the solution is {{{x=11}}}