# How do you simplify 6b - (5a - 2 [a + (b - 2a)])?

Apr 10, 2015

color(red)(6b - (5a - 2 [a + (b - 2a)])

Based on PEMDAS, we solve the innermost parentheses first, and then move outwards

$6 b - \left(5 a - 2 \left[a + b - 2 a\right]\right)$

$6 b - \left(5 a - 2 \left[b - a\right]\right)$

$6 b - \left(5 a - 2 b + 2 a\right)$

$6 b - \left(7 a - 2 b\right)$

$6 b - 7 a + 2 b$

$8 b - 7 a$

color(green)(- 7a + 8b  is the Simplified Form of color(red)(6b - (5a - 2 [a + (b - 2a)])