Question 177036
Is the equation {{{(x-4)/2-1/4 = (6x-1)/20}}} ???



{{{((x-4))/2-1/4 = ((6x-1))/20}}} Start with the given equation.



{{{10(x-4)-5 = 6x-1}}} Multiply EVERY term (that is not in a set of parenthesis) by the LCD 20 to clear the fractions.



{{{10x-40-5=6x-1}}} Distribute.



{{{10x-45=6x-1}}} Combine like terms on the left side.



{{{10x=6x-1+45}}} Add {{{45}}} to both sides.



{{{10x-6x=-1+45}}} Subtract {{{6x}}} from both sides.



{{{4x=-1+45}}} Combine like terms on the left side.



{{{4x=44}}} Combine like terms on the right side.



{{{x=(44)/(4)}}} Divide both sides by {{{4}}} to isolate {{{x}}}.



{{{x=11}}} Reduce.



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Answer:


So the answer is {{{x=11}}}