Solve for x: Understanding the Absolute Value in |x + 4| = 10

To solve the equation $\left|x+4\right|=10$, we split it into two separate equations:

1. $x+4=10$

2. $x+4=-10$

For the first equation:

$x+4=10$

Subtract 4 from both sides:

$x=6$

For the second equation:

$x+4=-10$

Subtract 4 from both sides:

$x=-14$

Thus, the solutions are $x=6$ and $x=-14$.