Question 118747


{{{x-3(x-2)=4(x+1)-8}}} Start with the given equation




{{{x-3x+6=4x+4-8}}} Distribute



{{{-2x+6=4x+4-8}}} Combine like terms on the left side



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



{{{-2x=4x-4-6}}}Subtract 6 from both sides



{{{-2x-4x=-4-6}}} Subtract 4x from both sides



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



{{{-6x=-10}}} Combine like terms on the right side



{{{x=(-10)/(-6)}}} Divide both sides by -6 to isolate x




{{{x=5/3}}} Reduce


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Answer:

So our answer is {{{x=5/3}}}  (which is approximately {{{x=1.66666666666667}}} in decimal form)