Question 168843
The goal is to get the variable that you want to solve for on one side (in this case "x") and everything else to the other side.



So in this problem, we want to move the "3x" to the left side and the "3" to the right. So to move "3x" to the left side, we need to add 3x to both sides (since it undoes the -3x)




{{{5x-3=13-3x}}} Start with the given equation.



{{{5x=13-3x+3}}} Add {{{3}}} to both sides.



{{{5x+3x=13+3}}} Add {{{3x}}} to both sides.



{{{8x=13+3}}} Combine like terms on the left side.



{{{8x=16}}} Combine like terms on the right side.



{{{x=(16)/(8)}}} Divide both sides by {{{8}}} to isolate {{{x}}}.



{{{x=2}}} Reduce.



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Answer:


So the answer is {{{x=2}}}