Question

3x(12x – 4) – 9x(4x – 3) = 30

Answer 1

`x=2`

Explanation:

`3x\left(12x-4\right)-9x\left(4x-3\right)=30`

Expand:
`3x\left(12x-4\right)`

Apply distributive law:

`36x^2-12x`

---------

Expand:
`-9x(4x-3)`

Apply distributive law:

`36x^2+27x`

---------

`36x^2-12x-36x^2+27x`

Combine like terms:

`36x^2-36x^2-12x+27x`

`-12x+27x`

`15x`

`15x=30`

Divide both sides by 15:

`(15x)/(15)=(30)/(15)`

`x=2`

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Answer 2

x is 2

Explanation:

`3x(12x - 4) - 9x(4x - 3) = 30`

• First open brackets [ by distributive property ]

`( {36x}^(2) - 12x) - ( {36x}^(2) - 27x) = 30 \\ \\ - 12x + 27x = 30 \\ \\ 15x = 30 \\ \\ x = 2`