Question

3x(12x – 4) – 9x(4x – 3) = 30

Answer 1

Answer:

x is 2

Step-by-step explanation:

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

• First open brackets [ by distributive property ]

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

Answer 2

Answer:

$x=2$

Step-by-step explanation:

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

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

Apply distributive law:

$36x^2-12x$

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

Apply distributive law:

$36x^2+27x$

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

Combine like terms:

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

$-12x+27x$

$15x$

$15x=30$

Divide both sides by 15:

$\frac{15x}{15}=\frac{30}{15}$

$x=2$

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