Question 26429
This problem is largely an application of the distributive property.
{{{2(x-3)-3(x+5) = 3(x-2)-7}}} Apply the disributive property.
{{{2x-6-3x-15 = 3x-6-7}}} Combine like-terms.
{{{-x-21 = 3x-13}}} Add x to both sides of the equation.
{{{-21 = 4x-13}}} Add 13 to both sides.
{{{-8 = 4x}}} Divide both sides by 4.
{{{-2 = x}}}  

Answer is: x = -2