Question 127395


{{{3-1(6x+5)=3+3x+4}}} Start with the given equation




{{{3-6x-5=3+3x+4}}} Distribute



{{{-6x-2=3+3x+4}}} Combine like terms on the left side



{{{-6x-2=3x+7}}} Combine like terms on the right side



{{{-6x=3x+7+2}}}Add 2 to both sides



{{{-6x-3x=7+2}}} Subtract 3x from both sides



{{{-9x=7+2}}} Combine like terms on the left side



{{{-9x=9}}} Combine like terms on the right side



{{{x=(9)/(-9)}}} Divide both sides by -9 to isolate x




{{{x=-1}}} Divide


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Answer:

So our answer is {{{x=-1}}} 




So you are correct. 







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Check:




{{{3-(6x+5)=3+(3x+4)}}} Start with the given equation



{{{3-(6(-1)+5)=3+(3(-1)+4)}}} Plug in {{{x=-1}}}. In other words, replace each {{{x}}} with {{{-1}}}





{{{3-(-6+5)=3+(-3+4)}}} Multiply



{{{3-(-1)=3+1}}} Add



{{{4=3+1}}} Subtract {{{3-(-1)}}} to get {{{3+1=4}}}



{{{4=4}}} Add. Since the two sides of the equation are equal, this verifies our answer.