Question 924325
{{{8(x+1)+2=7x-(x-2)}}} Start with the given equation.



{{{8x+8+2=7x-x+2}}} Distribute.



{{{8x+10=7x-x+2}}} Combine like terms on the left side.



{{{8x+10=6x+2}}} Combine like terms on the right side.



{{{8x=6x+2-10}}} Subtract {{{10}}} from both sides.



{{{8x-6x=2-10}}} Subtract {{{6x}}} from both sides.



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



{{{2x=-8}}} Combine like terms on the right side.



{{{x=(-8)/(2)}}} Divide both sides by {{{2}}} to isolate {{{x}}}.



{{{x=-4}}} Reduce.



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Answer:


So the solution is {{{x=-4}}} 


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