Question 147577


{{{7(x+4)=9(x-2)}}} Start with the given equation.



{{{7x+28=9x-18}}} Distribute.



{{{7x=9x-18-28}}} Subtract {{{28}}} from both sides.



{{{7x-9x=-18-28}}} Subtract {{{9x}}} from both sides.



{{{-2x=-18-28}}} Combine like terms on the left side.



{{{-2x=-46}}} Combine like terms on the right side.



{{{x=(-46)/(-2)}}} Divide both sides by {{{-2}}} to isolate {{{x}}}.



{{{x=23}}} Reduce.



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Answer:


So the answer is {{{x=23}}}