Answer
$5x+11$
Work Step by Step
RECALL:
The order of operations follow the PEMDAS rule:
First Priority: P - parentheses or grouping symbols
Second Priority: E - exponents
Third Priority: M/D - multiplication or division, whichever comes first from the left
Fourth Priority: A/S - addition or subtraction, whichever comes first from the left
Use the PEMDAS rule to obtain:
Simplify within the parentheses (from the innermost part):
$=3(x-1)-2[x-2x-7]
\\=3(x-1)-2[-x-7]$
Distribute $3$:
$=3x-3-2[-x-7]$
Distribute $-2$:
$=3x-3-2(-x)-2(-7)
\\=3x-3+2x+14$
Combine like terms:
$=(3x+2x)+(-3+14)
\\=5x+11$
