Question 177239
{{{(x-3)/5-1=(x-5)/4}}} Start with the given equation.



{{{20((x-3)/cross(5))-1(20)=20((x-5)/cross(4))}}} Multiply EVERY term by the LCD 20 to clear the fractions.



{{{4(x-3)-20=5(x-5)}}} Multiply and simplify.



{{{4x-12-20=5x-25}}} Distribute.



{{{4x-32=5x-25}}} Combine like terms on the left side.



{{{4x=5x-25+32}}} Add {{{32}}} to both sides.



{{{4x-5x=-25+32}}} Subtract {{{5x}}} from both sides.



{{{-x=-25+32}}} Combine like terms on the left side.



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



{{{x=(7)/(-1)}}} Divide both sides by {{{-1}}} to isolate {{{x}}}.



{{{x=-7}}} Reduce.



----------------------------------------------------------------------


Answer:


So the answer is {{{x=-7}}}