Question

what is the solution to 0.3(12x - 16) = 0.4(12 - 3x)? f -2 g 4 h 2 j -4

Explanation:

Step1: Expand ambos lados

$$0.3\times12x-0.3\times16 = 0.4\times12-0.4\times3x$$
$$3.6x - 4.8=4.8 - 1.2x$$

Step2: Sumar $1.2x$ a ambos lados

$$3.6x+1.2x - 4.8=4.8 - 1.2x+1.2x$$
$$4.8x - 4.8=4.8$$

Step3: Sumar 4.8 a ambos lados

$$4.8x - 4.8+4.8=4.8+4.8$$
$$4.8x=9.6$$

Step4: Dividir ambos lados por 4.8

$$x=\frac{9.6}{4.8}$$
$$x = 2$$

Answer:

H. 2