Question 132401
{{{-6x-1-3(x+1)=7x-5}}} Start with the given equation




{{{-6x-1-3x-3=7x-5}}} Distribute



{{{-9x-4=7x-5}}} Combine like terms on the left side



{{{-9x=7x-5+4}}}Add 4 to both sides



{{{-9x-7x=-5+4}}} Subtract 7x from both sides



{{{-16x=-5+4}}} Combine like terms on the left side



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



{{{x=(-1)/(-16)}}} Divide both sides by -16 to isolate x




{{{x=1/16}}} Reduce


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Answer:

So our answer is {{{x=1/16}}}  (which is approximately {{{x=0.0625}}} in decimal form)








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Check:


{{{-6x-1-3(x+1)=7x-5}}} Start with the given equation



{{{-6(1/16)-1-3(1/16+1)=7(1/16)-5}}} Plug in  {{{x=1/16}}}



{{{-6(1/16)-1-3(17/16)=7(1/16)-5}}} Combine like terms



{{{-6/16-1-51/16=7/16-5}}} Multiply



{{{-73/16=-73/16}}} Combine like terms. Since the two sides of the equation are equal, this verifies our answer.