Question 102038
{{{3-4(x+5)+1=2(x-5)+9}}} Start with the given equation



{{{3-4x-20+1=2x-10+9}}} Distribute




{{{-4x-16=2x-10+9}}} Combine like terms on the left side



{{{-4x-16=2x-1}}} Combine like terms on the right side



{{{-4x=2x-1+16}}}Add 16 to both sides



{{{-4x-2x=-1+16}}} Subtract 2x from both sides



{{{-6x=-1+16}}} Combine like terms on the left side



{{{-6x=15}}} Combine like terms on the right side



{{{x=(15)/(-6)}}} Divide both sides by -6 to isolate x




{{{x=-5 / 2}}} Reduce


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Answer:

So our answer is {{{x=-5 / 2}}}  (which is {{{x=-2.5}}} in decimal form)