To solve the expression 4x + 5 \times 3x - 2x4x+5×3x−2x, we follow the order of operations, which is PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
First, let's simplify the multiplication:
5 \times 3x = 15x5×3x=15x
Now, our expression becomes:
4x + 15x - 2x4x+15x−2x
Now, we combine like terms:
4x + 15x - 2x = (4 + 15 - 2)x4x+15x−2x=(4+15−2)x
= 17x - 2x=17x−2x
= 15x=15x
So, 4x + 5 \times 3x - 2x = 15x4x+5×3x−2x=15x.