Question 485862
{{{6x-3(6-5x)+3x=10-4(2-x)}}} Start with the given equation.



{{{6x-18+15x+3x=10-8+4x}}} Distribute.



{{{24x-18=10-8+4x}}} Combine like terms on the left side.



{{{24x-18=4x+2}}} Combine like terms on the right side.



{{{24x=4x+2+18}}} Add {{{18}}} to both sides.



{{{24x-4x=2+18}}} Subtract {{{4x}}} from both sides.



{{{20x=2+18}}} Combine like terms on the left side.



{{{20x=20}}} Combine like terms on the right side.



{{{x=(20)/(20)}}} Divide both sides by {{{20}}} to isolate {{{x}}}.



{{{x=1}}} Reduce.



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


Answer:


So the solution is {{{x=1}}}