Question 215010


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



{{{12((2/cross(3))x+8)=12((1/cross(4))x)}}} Multiply both sides by the LCD {{{12}}} to clear any fractions.



{{{8x+96=3x}}} Distribute and multiply.



{{{8x=3x-96}}} Subtract {{{96}}} from both sides.



{{{8x-3x=-96}}} Subtract {{{3x}}} from both sides.



{{{5x=-96}}} Combine like terms on the left side.



{{{x=(-96)/(5)}}} Divide both sides by {{{5}}} to isolate {{{x}}}.



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Answer:


So the solution is {{{x=-96/5}}} which in decimal form is {{{x=-19.2}}}.