Question 602891
{{{5(2x+4)-3(2x-4)=2x+10}}} Start with the given equation.



{{{10x+20-6x+12=2x+10}}} Distribute.



{{{4x+32=2x+10}}} Combine like terms on the left side.



{{{4x=2x+10-32}}} Subtract {{{32}}} from both sides.



{{{4x-2x=10-32}}} Subtract {{{2x}}} from both sides.



{{{2x=10-32}}} Combine like terms on the left side.



{{{2x=-22}}} Combine like terms on the right side.



{{{x=(-22)/(2)}}} Divide both sides by {{{2}}} to isolate {{{x}}}.



{{{x=-11}}} Reduce.



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Answer:


So the solution is {{{x=-11}}}