Questions: 3(-2x+3)+3x+3=15

Transcript text: \[ 3(-2 x+3)+3 x+3=15 \]

Solution

To solve the given equation, we need to follow these steps:

Distribute the 3 across the terms inside the parentheses.
Combine like terms.
Isolate the variable \( x \) by moving constants to the other side of the equation.
Solve for \( x \).

Step 1: Distribute the 3

Distribute the 3 across the terms inside the parentheses: \[ 3(-2x + 3) + 3x + 3 = 15 \implies -6x + 9 + 3x + 3 = 15 \]

Step 2: Combine Like Terms

Combine the like terms: \[ -6x + 3x + 9 + 3 = 15 \implies -3x + 12 = 15 \]

Step 3: Isolate the Variable \( x \)

Move the constant term to the other side of the equation: \[ -3x + 12 = 15 \implies -3x = 15 - 12 \implies -3x = 3 \]

Step 4: Solve for \( x \)

Divide both sides by -3 to solve for \( x \): \[ x = \frac{3}{-3} \implies x = -1 \]

\[ \boxed{x = -1} \]

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