Question 414512
{{{-1(5x+7)-1(7x-5)=7-1(3x+1)}}} Start with the given equation.



{{{-5x-7-7x+5=7-3x-1}}} Distribute.



{{{-12x-2=7-3x-1}}} Combine like terms on the left side.



{{{-12x-2=-3x+6}}} Combine like terms on the right side.



{{{-12x=-3x+6+2}}} Add {{{2}}} to both sides.



{{{-12x+3x=6+2}}} Add {{{3x}}} to both sides.



{{{-9x=6+2}}} Combine like terms on the left side.



{{{-9x=8}}} Combine like terms on the right side.



{{{x=(8)/(-9)}}} Divide both sides by {{{-9}}} to isolate {{{x}}}.



{{{x=-8/9}}} Reduce.



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Answer:


So the solution is {{{x=-8/9}}} 



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