# How do you solve abs(10-4x)=2?

$x = 2$ or $x = 3$.
As $| 10 - 4 x | = 2$, we have either $10 - 4 x = 2$ i.e. $10 - 2 = 4 x$ or $4 x = 8$ and $x = \frac{8}{4} = 2$
or $10 - 4 x = - 2$ i.e. $10 + 2 = 4 x$ or $4 x = 12$ and $x = \frac{12}{4} = 3$.