Question 580500
{{{3x-3(5-2x)=-7(4-x)}}} Start with the given equation.



{{{3x-15+6x=-28+7x}}} Distribute.



{{{9x-15=-28+7x}}} Combine like terms on the left side.



{{{9x=-28+7x+15}}} Add {{{15}}} to both sides.



{{{9x-7x=-28+15}}} Subtract {{{7x}}} from both sides.



{{{2x=-28+15}}} Combine like terms on the left side.



{{{2x=-13}}} Combine like terms on the right side.



{{{x=(-13)/(2)}}} Divide both sides by {{{2}}} to isolate {{{x}}}.



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Answer:


So the solution is {{{x=-13/2}}} 



To perform the check, simply plug the answer back into the original equation and simplify. 
If you get a true equation as the final result, then the answer is verified.
I'll let you perform the check.