#### Answer

$x=\frac{1}{2}$

#### Work Step by Step

We are given the equation $2x+3=5-2(3x-1)$.
We can use the distributive property to simplify.
$2x+3=5-2(3x-1)=5-2(3x)-2(-1)=5-6x+2$
Combine like terms on the right side.
$2x+3=-6x+7$
Subtract 3 from both sides.
$2x=-6x+4$
Add 6x to both sides.
$8x=4$
Divide both sides by 8.
$x=\frac{4}{8}=\frac{1}{2}$