## Intermediate Algebra (6th Edition)

We are given that $|x+3|=|7−x|$ So $x+3=7−x$ or $x+3=−(7−x)$ We can solve both of these equations for x. For $x+3=7−x$, subtract 3 from both sides of the equation. $x=4−x$ Add x to both sides of the equation. $2x=4$ Divide both sides of the equation by 2. $x=2$ For $x+3=-(7−x)$, use the distributive property to simplify the right side of the equation. $x+3=x-7$ Subtract x from both sides of the equation. $3=−7$ This is false, so the only solution is x=2.