Question

solve the equation.

1. ( 8(x - 3) = -4x )

Explanation:

Step1: Distribute the 8

Using the distributive property \(a(b - c)=ab - ac\), we get \(8x-24=-4x\).

Step2: Add 4x to both sides

Adding \(4x\) to each side to get all \(x\) terms on one side: \(8x + 4x-24=-4x + 4x\), which simplifies to \(12x-24 = 0\).

Step3: Add 24 to both sides

Adding 24 to both sides: \(12x-24 + 24=0 + 24\), so \(12x=24\).

Step4: Divide by 12

Dividing both sides by 12: \(\frac{12x}{12}=\frac{24}{12}\), which gives \(x = 2\).

Answer:

\(x = 2\)