1-1/2x=2x+3

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Solution for 1-1/2x=2x+3 equation: 



1-1/2x=2x+3

We move all terms to the left:

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



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R



We get rid of parentheses

-1/2x-2x-3+1=0

We multiply all the terms by the denominator


-2x*2x-3*2x+1*2x-1=0

Wy multiply elements

-4x^2-6x+2x-1=0

We add all the numbers together, and all the variables

-4x^2-4x-1=0

a = -4; b = -4; c = -1;
Δ = b2-4ac
Δ = -42-4·(-4)·(-1)
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{4}{-8}=-1/2$

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