Question 596199
{{{-5(x-4)+7=2x+9}}} Start with the given equation.



{{{-5x+20+7=2x+9}}} Distribute.



{{{-5x+27=2x+9}}} Combine like terms on the left side.



{{{-5x=2x+9-27}}} Subtract {{{27}}} from both sides.



{{{-5x-2x=9-27}}} Subtract {{{2x}}} from both sides.



{{{-7x=9-27}}} Combine like terms on the left side.



{{{-7x=-18}}} Combine like terms on the right side.



{{{x=(-18)/(-7)}}} Divide both sides by {{{-7}}} to isolate {{{x}}}.



{{{x=18/7}}} Reduce.



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Answer:


So the solution is {{{x=18/7}}}