The problem is to simplify the algebraic expression $5m - 2(x - 3m)$.

1. Problem Description

The problem is to simplify the algebraic expression $5m - 2(x - 3m)$.

2. Solution Steps

First, distribute the $-2$ to both terms inside the parenthesis.

$5m - 2(x - 3m) = 5m - 2x + 6m$

Next, combine like terms (the terms with $m$ in this case).

$5m + 6m - 2x = 11m - 2x$

3. Final Answer

The simplified expression is $11m - 2x$.