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

Sagot :

Answer:

[tex]12(1 + x)[/tex]

Step-by-step explanation:

We will use order of operations to simplify this expression.

We will evaluate the brackets first.

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

[tex]3(12) - 6(4 - 2x) \\ = 36 - 6(4 - 2x) \\ = 36 - 24 + 12x \\ = 12 + 12x[/tex]

You can further simplify it by factorising it:

[tex]12 + 12x \\ = 12(1 + x)[/tex]

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


[tex]\mathsf{3(5 + 7) - 6(4 - 2x)}[/tex]

[tex]\mathsf{= 3(5) + 3(7) - 6(4) - 6(-2x)}[/tex]

[tex]\mathsf{= 15 + 21 - 24 + 12x}[/tex]

[tex]\mathsf{= 36 - 24 + 12x}[/tex]

[tex]\mathsf{= 12 + 12x}[/tex]
[tex]\mathsf{= 12x + 12}[/tex]

[tex]\huge\text{Therefore, your answer should be:\boxed{\mathsf{12x + 12}}}}\huge\checkmark[/tex]

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


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