Question

1. solve: - 5(4x - 2)= - 2(3 + 6x)

Explanation:

Step1: Expand both sides

-5(4x - 2)=-20x + 10 and -2(3 + 6x)=-6 - 12x. So the equation becomes -20x + 10=-6 - 12x.

Step2: Add 20x to both sides

-20x+20x + 10=-6 - 12x+20x, which simplifies to 10=-6 + 8x.

Step3: Add 6 to both sides

10 + 6=-6+6 + 8x, resulting in 16 = 8x.

Step4: Divide both sides by 8

$\frac{16}{8}=\frac{8x}{8}$, so x = 2.

Answer:

x = 2