Question

solve for x
12 = -4 (-6x - 3)
not possible
x = 0
x = 2
x = -2

Explanation:

Step1: Expand the right side

Using the distributive property \(a(b + c)=ab+ac\), here \(a = - 4\), \(b=-6x\), \(c = - 3\). So \(-4(-6x - 3)=(-4)\times(-6x)+(-4)\times(-3)=24x + 12\). The equation becomes \(12=24x + 12\).

Step2: Solve for x

Subtract 12 from both sides: \(12-12=24x+12 - 12\), which simplifies to \(0 = 24x\). Then divide both sides by 24: \(\frac{0}{24}=\frac{24x}{24}\), so \(x = 0\).

Answer:

x = 0