Question 198675
*[Tex \LARGE -[3x-(2x+5)]=-4-[3(2x-4)-3x]] ... Start with the given equation.



*[Tex \LARGE -[3x-2x-5]=-4-[6x-12-3x]] ... Distribute



*[Tex \LARGE -3x+2x+5=-4-6x+12+3x] ... Distribute again



{{{-x+5=-4-6x+12+3x}}} Combine like terms on the left side.



{{{-x+5=-3x+8}}} Combine like terms on the right side.



{{{-x=-3x+8-5}}} Subtract {{{5}}} from both sides.



{{{-x+3x=8-5}}} Add {{{3x}}} to both sides.



{{{2x=8-5}}} Combine like terms on the left side.



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



{{{x=(3)/(2)}}} Divide both sides by {{{2}}} to isolate {{{x}}}.



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Answer:


So the solution is {{{x=3/2}}} which in decimal form is {{{x=1.5}}}.