Question 318636
"Eight less than four times a number is the same as eight times the sum of the number and two" means that {{{4x-8=8(x+2)}}}



{{{4x-8=8(x+2)}}} Start with the given equation.



{{{4x-8=8x+16}}} Distribute.



{{{4x=8x+16+8}}} Add {{{8}}} to both sides.



{{{4x-8x=16+8}}} Subtract {{{8x}}} from both sides.



{{{-4x=16+8}}} Combine like terms on the left side.



{{{-4x=24}}} Combine like terms on the right side.



{{{x=(24)/(-4)}}} Divide both sides by {{{-4}}} to isolate {{{x}}}.



{{{x=-6}}} Reduce.



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Answer:


So the solution is {{{x=-6}}}