Question

3(5+7)-6(4-2x) what is equivalent to this equation

Answer 1

`\huge\text{Hey there!}`

`\mathsf{3(5 + 7) - 6(4 - 2x)}`

`\mathsf{= 3(5) + 3(7) - 6(4) - 6(-2x)}`

`\mathsf{= 15 + 21 - 24 + 12x}`

`\mathsf{= 36 - 24 + 12x}`

`\mathsf{= 12 + 12x}`

`\mathsf{= 12x + 12}`

`\huge\text{Therefore, your answer should be:\boxed{\mathsf{12x + 12}}}}\huge\checkmark`

~
`\frak{Amphitrite1040:)}`

Answer 2

`12(1 + x)`

Explanation:

We will use order of operations to simplify this expression.

We will evaluate the brackets first.

3(5+7)-6(4-2x) =

`3(12) - 6(4 - 2x) \\ = 36 - 6(4 - 2x) \\ = 36 - 24 + 12x \\ = 12 + 12x`

You can further simplify it by factorising it:

`12 + 12x \\ = 12(1 + x)`