3*x=2*(1/2-x)-6

Solution for 3*x=2*(1/2-x)-6 equation:

3x=2(1/2-x)-6

We move all terms to the left:

3x-(2(1/2-x)-6)=0


Domain of the equation: 2-x)-6)!=0

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

-x)-6)!=-2

x!=-2/1

x!=-2

x∈R


We add all the numbers together, and all the variables

3x-(2(-1x+1/2)-6)=0

We multiply all the terms by the denominator


3x*2)-6)-(2(-1x+1=0

We add all the numbers together, and all the variables

-1x+3x*2)-6)-(2(+1=0

Wy multiply elements

6x^2-1x+1=0

a = 6; b = -1; c = +1;
Δ = b2-4ac
Δ = -12-4·6·1
Δ = -23
Delta is less than zero, so there is no solution for the equation