Solve for x if ( x-3) = 5/(2x+4)

Given the equality ( x-3) = 5/(2x+4). We need to find x
values that satisfies the equality.

==> (x-3) =
5/(2x+4).

First, we need to re-write the
equation.

We will multiply by the denominator
(2x+4).

==> (x-3)(2x+4) =
5

Now we will open
bracket.

==> x*2x + x*4 - 3*2x -3*4 =
5

==> 2x^2 + 4x - 6x - 12 =
5

Now we will subtract 5 from both
sides.

==> 2x^2 -2x -12 - 5 =
0.

==> 2x^2 - 2x - 17 =
0

Now we will use the formula to determine the
roots.

==> x1= (2 + sqrt(140) / 4 = 2+2sqrt35/
4

==> x1= (1/2)+
(sqrt35)/2

==> x2=
(1/2)-(sqrt35)/2