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

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



5/2(2-x)-(1-x)/(2-x)=2/3
We move all terms to the left:
5/2(2-x)-(1-x)/(2-x)-(2/3)=0
Domain of the equation: 2(2-x)!=0
x∈R
Domain of the equation: (2-x)!=0
We move all terms containing x to the left, all other terms to the right
-x!=-2
x!=-2/-1
x!=+2
x∈R
We add all the numbers together, and all the variables
5/2(-1x+2)-(-1x+1)/(-1x+2)-(+2/3)=0
We get rid of parentheses
5/2(-1x+2)-(-1x+1)/(-1x+2)-2/3=0
We calculate fractions
(-4x^2(-)/(2(-1x+2)*(-1x+2)*3)+(-15x+30)/(2(-1x+2)*(-1x+2)*3)+(-(-1x+1)*2(-1x+2)*3)/(2(-1x+2)*(-1x+2)*3)=0
We calculate terms in parentheses: +(-4x^2(-)/(2(-1x+2)*(-1x+2)*3)+(-15x+30)/(2(-1x+2)*(-1x+2)*3)+(-(-1x+1)*2(-1x+2)*3)/(2(-1x+2)*(-1x+2)*3), so:
-4x^2(-)/(2(-1x+2)*(-1x+2)*3)+(-15x+30)/(2(-1x+2)*(-1x+2)*3)+(-(-1x+1)*2(-1x+2)*3)/(2(-1x+2)*(-1x+2)*3
We add all the numbers together, and all the variables
-4x^20/(2(-1x+2)*(-1x+2)*3)+(-15x+30)/(2(-1x+2)*(-1x+2)*3)+(-(-1x+1)*2(-1x+2)*3)/(2(-1x+2)*(-1x+2)*3
We calculate fractions
We do not support expression: x^20

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