## Intermediate Algebra (6th Edition)

$x=\frac{1}{2}$
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. $x=\frac{4}{8}=\frac{1}{2}$