Question 672870
{{{-x+2=-(4/5)x+8/5}}} Start with the given equation.



{{{5(-x+2)=5(-(4/cross(5))x+8/cross(5))}}} Multiply both sides by the LCD {{{5}}} to clear any fractions.



{{{-5x+10=-4x+8}}} Distribute and multiply.



{{{-5x=-4x+8-10}}} Subtract {{{10}}} from both sides.



{{{-5x+4x=8-10}}} Add {{{4x}}} to both sides.



{{{-x=8-10}}} Combine like terms on the left side.



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



{{{x=(-2)/(-1)}}} Divide both sides by {{{-1}}} to isolate {{{x}}}.



{{{x=2}}} Reduce.



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Answer:


So the solution is {{{x=2}}}