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

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

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

We move all terms to the left:

3/2(4x+1)+3x-(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 add all the numbers together, and all the variables

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

We calculate fractions


3x+(-(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

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

We multiply all the terms by the denominator


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

We add all the numbers together, and all the variables

3x*(32x-1x*(32x+12)-(x+2))-10x4-x*(32x-2*(32x-2)+8)*(32x+8)+(=0

We add all the numbers together, and all the variables

-10x^4+3x*(32x-1x*(32x+12)-(x+2))-x*(32x-2*(32x-2)+8)*(32x+8)=0

We do not support expression: x^4