Question

Which of the following values of x will result in a true statement when substituted into the given equation?

-3(x – 2) = 9

A. x = 1
B. x = -1
C. x = 3
D. x = -3

Answer 1

B.X=-1

Explanation:

-3 (X-2)=9

-3X+6=9

-3X=9-6

-3X=3

X=3/-3

X=-1

Answer 2

`\huge\text{Hey there!}`

`\mathsf{-3(x - 2) = 9}`

`\textbf{DISTRIBUTE -3 WITHIN the PARENTHESES}`

`\mathsf{-3(x) - 3(-2) = 9}`

`\mathsf{-3x + 6 = 9}`

`\textbf{SUBTRACT 6 to BOTH SIDES}`

`\mathsf{-3x + 6 - 6 = 9 - 6}`

`\textbf{SIMPLIFY it}`

`\mathsf{-3x = 9 - 6}`

`\mathsf{-3x = 3}`

`\textbf{DIVIDE -3 to BOTH SIDES}`

`\mathsf{(-3x)/(-3) = (3)/(-3)}`

`\textbf{SIMPLIFY it}`

`\mathsf{x = (-3)/(3)}`

`\mathsf{x = -1}`

`\huge\text{Therefore, your answer should be:}`

`\huge\boxed{\mathsf{x = -1}}\huge\checkmark`

~
`\frak{Amphitrite1040:)}`