Questions: 5x + 15 + 4x = 6x - 3(x + 9)

Transcript text: \[ 5 x+15+4 x=6 x-3(x+9) \]

Solution

Solution Steps

To solve the given equation, we will first simplify both sides by combining like terms. Then, we will isolate the variable \( x \) on one side of the equation to find its value.

Step 1: Simplify Both Sides of the Equation

Start with the original equation: \[ 5x + 15 + 4x = 6x - 3(x + 9) \]

Combine like terms on both sides: \[ 9x + 15 = 6x - 3x - 27 \]

Simplify further: \[ 9x + 15 = 3x - 27 \]

Step 2: Isolate the Variable \( x \)

Subtract \( 3x \) from both sides to get all terms involving \( x \) on one side: \[ 9x - 3x + 15 = -27 \]

This simplifies to: \[ 6x + 15 = -27 \]

Subtract 15 from both sides to isolate the term with \( x \): \[ 6x = -27 - 15 \]

Simplify the right side: \[ 6x = -42 \]

Step 3: Solve for \( x \)

Divide both sides by 6 to solve for \( x \): \[ x = \frac{-42}{6} \]

Simplify the fraction: \[ x = -7 \]

Final Answer

\(\boxed{x = -7}\)

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