Questions: Solve using the addition principle. 1 + 3 = x + 2 + 5

Solve using the addition principle. 1 + 3 = x + 2 + 5
Transcript text: Solve using the addition principle. $1 + 3 = x + 2 + 5$
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Solution

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Solution Steps

To solve the equation using the addition principle, we need to isolate the variable \( x \) on one side of the equation. We can do this by simplifying both sides and then using the addition principle to eliminate constants from the side containing \( x \).

Step 1: Simplify Both Sides

We start with the equation: \[ 1 + 3 = x + 2 + 5 \] Calculating the left side: \[ 1 + 3 = 4 \] Calculating the right side: \[ 2 + 5 = 7 \] Thus, we can rewrite the equation as: \[ 4 = x + 7 \]

Step 2: Isolate the Variable

To isolate \( x \), we apply the addition principle by subtracting \( 7 \) from both sides: \[ 4 - 7 = x \] This simplifies to: \[ x = -3 \]

Final Answer

\(\boxed{x = -3}\)

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