Question

1. 9 = 6 - (x + 2)

Explanation:

Step1: Simplify the right - hand side

First, we simplify the expression on the right - hand side of the equation \(9 = 6-(x + 2)\). We use the distributive property \(a-(b + c)=a - b - c\), so \(6-(x + 2)=6 - x-2=4 - x\). The equation becomes \(9=4 - x\).

Step2: Isolate the variable \(x\)

We want to solve for \(x\). We can add \(x\) to both sides of the equation: \(9+x=4 - x+x\), which simplifies to \(9 + x=4\). Then we subtract 9 from both sides: \(9+x - 9=4 - 9\).

Step3: Calculate the value of \(x\)

Simplifying the left - hand side and the right - hand side, we get \(x=4 - 9=- 5\).

Answer:

\(x=-5\)