Question 385286
{{{3(x-6)+8=5(x+2)-12}}} Start with the given equation.



{{{3x-18+8=5x+10-12}}} Distribute.



{{{3x-10=5x+10-12}}} Combine like terms on the left side.



{{{3x-10=5x-2}}} Combine like terms on the right side.



{{{3x=5x-2+10}}} Add {{{10}}} to both sides.



{{{3x-5x=-2+10}}} Subtract {{{5x}}} from both sides.



{{{-2x=-2+10}}} Combine like terms on the left side.



{{{-2x=8}}} Combine like terms on the right side.



{{{x=(8)/(-2)}}} Divide both sides by {{{-2}}} to isolate {{{x}}}.



{{{x=-4}}} Reduce.



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


Answer:


So the solution is {{{x=-4}}} 



If you need more help, email me at <a href="mailto:jim_thompson5910@hotmail.com?Subject=Algebra%20Help">jim_thompson5910@hotmail.com</a>


Also, feel free to check out my <a href="http://www.freewebs.com/jimthompson5910/home.html">tutoring website</a>


Jim