3/4(2x-1)-5=2/3(x

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Solution for 3/4(2x-1)-5=2/3(x equation:



3/4(2x-1)-5=2/3(x
We move all terms to the left:
3/4(2x-1)-5-(2/3(x)=0
Domain of the equation: 4(2x-1)!=0
x∈R
Domain of the equation: 3x-5!=0
We move all terms containing x to the left, all other terms to the right
3x!=5
x!=5/3
x!=1+2/3
x∈R
We calculate fractions
(9x-5)/(24x^2-12x-5)+(-8x2/(24x^2-12x-5)=0
We calculate terms in parentheses: +(-8x2/(24x^2-12x-5), so:
-8x2/(24x^2-12x-5
We multiply all the terms by the denominator
-8x2
We add all the numbers together, and all the variables
-8x^2
Back to the equation:
+(-8x^2)
We get rid of parentheses
-8x^2+(9x-5)/(24x^2-12x-5)=0
We multiply all the terms by the denominator
-8x^2*(24x^2-12x-5)+(9x-5)=0
We get rid of parentheses
-8x^2*(24x^2-12x-5)+9x-5=0
We move all terms containing x to the left, all other terms to the right
-8x^2*(24x^2-12x-5)+9x=5

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