Question

1. 2 - 3(x + 4) = 8

Explanation:

Step1: Expand the bracket

Using the distributive property \(a(b + c)=ab+ac\), we expand \(-3(x + 4)\) to get \(-3x-12\). So the equation becomes \(2-3x - 12=8\).

Step2: Simplify the left - hand side

Combine like terms \(2-12\) which equals \(-10\). The equation is now \(-3x-10 = 8\).

Step3: Isolate the term with \(x\)

Add 10 to both sides of the equation. \(-3x-10 + 10=8 + 10\), which simplifies to \(-3x=18\).

Step4: Solve for \(x\)

Divide both sides of the equation by \(-3\). \(\frac{-3x}{-3}=\frac{18}{-3}\), so \(x=-6\).

Answer:

\(x = - 6\)