Question 644392
{{{(1/2)x+6=3/4-2x}}} Start with the given equation.



{{{4((1/cross(2))x+6)=4(3/cross(4)-2x)}}} Multiply both sides by the LCD {{{4}}} to clear any fractions.



{{{2x+24=3-8x}}} Distribute and multiply.



{{{2x=3-8x-24}}} Subtract {{{24}}} from both sides.



{{{2x+8x=3-24}}} Add {{{8x}}} to both sides.



{{{10x=3-24}}} Combine like terms on the left side.



{{{10x=-21}}} Combine like terms on the right side.



{{{x=(-21)/(10)}}} Divide both sides by {{{10}}} to isolate {{{x}}}.



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Answer:


So the solution is {{{x=-21/10}}}