Question

ng linear equations part 1
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the following equation for x:
2(x - 2) + 1 = -4 - (x + 5)
ide your answer below:.
x =

Explanation:

Step1: Expand both sides

First, we expand the left - hand side and the right - hand side of the equation.
For the left - hand side: Using the distributive property \(a(b + c)=ab+ac\), we have \(2(x - 2)+1=2x-4 + 1=2x-3\).
For the right - hand side: \(-4-(x + 5)=-4-x - 5=-x-9\).
So the equation becomes \(2x-3=-x - 9\).

Step2: Add x to both sides

To get all the \(x\) terms on one side, we add \(x\) to both sides of the equation \(2x-3=-x - 9\).
\(2x+x-3=-x+x - 9\), which simplifies to \(3x-3=-9\).

Step3: Add 3 to both sides

To isolate the term with \(x\), we add 3 to both sides of the equation \(3x-3=-9\).
\(3x-3 + 3=-9 + 3\), which simplifies to \(3x=-6\).

Step4: Divide by 3

To solve for \(x\), we divide both sides of the equation \(3x=-6\) by 3.
\(\frac{3x}{3}=\frac{-6}{3}\), so \(x=-2\).

Answer:

\(x = - 2\)