Respuesta :

Answer:

x is 2

Step-by-step explanation:

[tex]3x(12x - 4) - 9x(4x - 3) = 30[/tex]

• First open brackets [ by distributive property ]

[tex]( {36x}^{2} - 12x) - ( {36x}^{2} - 27x) = 30 \\ \\ - 12x + 27x = 30 \\ \\ 15x = 30 \\ \\ x = 2[/tex]

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

[tex]3x\left(12x-4\right)-9x\left(4x-3\right)=30[/tex]

Expand: [tex]3x\left(12x-4\right)[/tex]

Apply distributive law:

[tex]36x^2-12x[/tex]

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Expand: [tex]-9x(4x-3)[/tex]

Apply distributive law:

[tex]36x^2+27x[/tex]

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[tex]36x^2-12x-36x^2+27x[/tex]

Combine like terms:

[tex]36x^2-36x^2-12x+27x[/tex]

[tex]-12x+27x[/tex]

[tex]15x[/tex]

[tex]15x=30[/tex]

Divide both sides by 15:

[tex]\frac{15x}{15}=\frac{30}{15}[/tex]

[tex]x=2[/tex]

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