Question 195523
I'm assuming that the equation is {{{5x-1/2-x-2/5=8x+11/6}}}????




{{{5x-1/2-x-2/5=8x+11/6}}} Start with the given equation.



{{{30(5x)-cross(30)^(15)(1/cross(2))-30(x)-cross(30)^6(2/cross(5))=30(8x+11/cross(6))}}} Multiply EVERY term by the LCD {{{30}}} to clear any fractions.



{{{150x-15-30x-12=240x+55}}} Multiply.



{{{120x-27=240x+55}}} Combine like terms on the left side.



{{{120x=240x+55+27}}} Add {{{27}}} to both sides.



{{{120x-240x=55+27}}} Subtract {{{240x}}} from both sides.



{{{-120x=55+27}}} Combine like terms on the left side.



{{{-120x=82}}} Combine like terms on the right side.



{{{x=(82)/(-120)}}} Divide both sides by {{{-120}}} to isolate {{{x}}}.



{{{x=-41/60}}} Reduce.



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Answer:


So the answer is {{{x=-41/60}}} which approximates to {{{x=-0.683}}}.