simplify the expression
2x+3(x-2)-3(x-6)
A. 2x + 12
B. 2x - 8
C. 8x - 24
D. 2x - 24
show me your steps, it only takes 2 lines
use PEMDAS
To simplify the expression 2x + 3(x - 2) - 3(x - 6), we need to follow the order of operations: parentheses, exponents, multiplication and division (from left to right), and finally addition and subtraction (from left to right).
First, distribute the 3 to the terms inside the first parentheses:
2x + 3x - 6 - 3(x - 6)
Next, distribute the -3 to the terms inside the second parentheses:
2x + 3x - 6 - 3x + 18
Simplifying further, combine like terms:
(2x + 3x - 3x) + (-6 + 18)
The terms 3x and -3x cancel each other out, leaving:
2x + (-6 + 18)
Continue simplifying:
2x + 12
The simplified expression is 2x + 12.