Questions: (3x+11)/2=-2

(3x+11)/2=-2
Transcript text: (3x+11)/2=-2
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Solution

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Solution Steps

Step 1: Eliminate the denominator

Multiply both sides of the equation by \( 2 \) to eliminate the denominator: \[ 2 \cdot \frac{3x + 11}{2} = -2 \cdot 2 \] Simplify: \[ 3x + 11 = -4 \]

Step 2: Isolate the variable term

Subtract \( 11 \) from both sides to isolate the term containing \( x \): \[ 3x + 11 - 11 = -4 - 11 \] Simplify: \[ 3x = -15 \]

Step 3: Solve for \( x \)

Divide both sides by \( 3 \) to solve for \( x \): \[ \frac{3x}{3} = \frac{-15}{3} \] Simplify: \[ x = -5 \]

Final Answer

\(\boxed{x = -5}\)

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