Question

distribution (lev 2)
this section.

$-2(x + 2) - x - 3 = 8$

Explanation:

Step1: Distribute -2

We use the distributive property \(a(b + c)=ab+ac\) to expand \(-2(x + 2)\). So we get \(-2x-4 - x-3 = 8\).

Step2: Combine like terms

Combine the \(x\) terms and the constant terms. For the \(x\) terms: \(-2x-x=-3x\). For the constant terms: \(-4 - 3=-7\). So the equation becomes \(-3x-7 = 8\).

Step3: Add 7 to both sides

To isolate the term with \(x\), we add 7 to both sides of the equation. \(-3x-7 + 7=8 + 7\), which simplifies to \(-3x=15\).

Step4: Divide by -3

To solve for \(x\), we divide both sides of the equation by \(-3\). \(\frac{-3x}{-3}=\frac{15}{-3}\), so \(x=- 5\).

Answer:

\(x = - 5\)