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

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

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

We move all terms to the left:

3/2(4x-1)-(5/4-(x+2))=0


Domain of the equation: 2(4x-1)!=0

x∈R



Domain of the equation: 4-(x+2))!=0

We move all terms containing x to the left, all other terms to the right

-(x+2))!=-4

x∈R


We calculate fractions


(-(x+2))+3*4)/(32x-(x+2))-8)+(-10x4/(32x-(x+2))-8)=0


We calculate terms in parentheses: +(-(x+2)), so:

-(x+2)

We get rid of parentheses

-x-2

We add all the numbers together, and all the variables

-1x-2

Back to the equation:

+(-1x-2)


We get rid of parentheses

-1x+3*4)/(32x-(x+2))-8)+(-10x4/(32x-x-2-2))-8=0

We multiply all the terms by the denominator


-1x*(32x+3*4)-(x+2))-8)+(-10x4-x*(32x-2*(32x-2)-8)*(32x=0

We add all the numbers together, and all the variables

-1x*(32x+12)-(x+2))-8)+(-10x4-x*(32x-2*(32x-2)-8)*(32x=0

We multiply parentheses

-32x^2-12x-(x+2))-8)+(-10x4-x*(32x-64x-8)*(32x+4=0

We add all the numbers together, and all the variables

-32x^2-12x-(x+2))-8)+(-10x4-x*(-32x-8)*(32x+4=0

We add all the numbers together, and all the variables

-32x^2-44x-(x+2))-8)+(-10x4-x*(-8)*(32x+4=0

We move all terms containing x to the left, all other terms to the right

-32x^2-44x-(x+2))-8)+(-10x4-x*(-8)*(32x=-4