Question 173373


{{{5(x-2)=3(x+6)}}} Start with the given equation.



{{{5x-10=3x+18}}} Distribute.



{{{5x=3x+18+10}}} Add {{{10}}} to both sides.



{{{5x-3x=18+10}}} Subtract {{{3x}}} from both sides.



{{{2x=18+10}}} Combine like terms on the left side.



{{{2x=28}}} Combine like terms on the right side.



{{{x=(28)/(2)}}} Divide both sides by {{{2}}} to isolate {{{x}}}.



{{{x=14}}} Reduce.



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Answer:


So the answer is {{{x=14}}}