Questions: Solve for (x). (-x+171=106) (x=)

Transcript text: Solve for $x$. \[ \begin{array}{l} -x+171=106 \\ x=\square \end{array} \]

Solution

Solution Steps

To solve for $ x $ in the equation $-x + 171 = 106$, we need to isolate $ x $. We can do this by first subtracting 171 from both sides of the equation and then multiplying both sides by -1 to solve for $ x $.

Step 1: Understand the Problem

We need to solve for $ x $ in the equation: \[ -x + 171 = 106 \]

Step 2: Isolate the Variable

To isolate $ x $, we first need to get rid of the constant term on the left side. We do this by subtracting 171 from both sides of the equation: \[ -x + 171 - 171 = 106 - 171 \] This simplifies to: \[ -x = 106 - 171 \]

Step 3: Simplify the Right Side

Next, we simplify the right side of the equation: \[ 106 - 171 = -65 \] So, the equation becomes: \[ -x = -65 \]

Step 4: Solve for $ x $

To solve for $ x $, we need to get rid of the negative sign in front of $ x $. We do this by multiplying both sides of the equation by -1: \[ -x \cdot (-1) = -65 \cdot (-1) \] This simplifies to: \[ x = 65 \]

Final Answer

\[ \boxed{x = 65} \]

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