What is the simplified expression for the expression below?
-1(2x + 3) - 2(x - 1)
0. 4x + 1
0. 4x - 2
0. 4x + 2
0.4x-1

Respuesta :

Answer:

-4x-1

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathsf{-1(2x + 3) - 2(x - 1)}[/tex]

[tex]\huge\textbf{Simplifying:}[/tex]

[tex]\mathsf{-1(2x + 3) - 2(x - 1)}[/tex]

[tex]\huge\textbf{Distribute \boxed{-1} \& \boxed{-2} within the}\\\\\huge\textbf{parentheses:}[/tex]

[tex]\mathsf{= -1(2x) - 1(3) - 2(x) - 2(-1)}[/tex]

[tex]\huge\textbf{Combine the like terms:}[/tex]

[tex]\mathsf{= -2x - 3 -2x + 2}[/tex]

[tex]\mathsf{= (-2x - 2x) + (-3 + 2)}[/tex]

[tex]\mathsf{= -2x - 2x - 3 + 2}[/tex]

[tex]\mathsf{= -4x - 1}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{-4\mathsf x - 1}}\huge\checkmark[/tex]

[tex]\text{Or you could simply say \boxed{\textsf{Option D.}} because it is closer to the correct answer.}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]