Chapter 6 - Systems of Equations and Inequalities - Get Ready! - Page 361: 5

$c=\frac{3}{2}$

We start with the given equation: $5x=2-(x-7)$ We apply the distributive property to the right side of the equation: $5x=2-x+7$ We add $x$ to both sides of the equation: $5x+x=2+x-x+7$ We combine like terms: $6x=9$ We divide by $6$ on each side of the equation: $$\frac{6x}{6}=\frac{9}{6}$$$$c=\frac{3}{2}$$