Solve Multi-Step Linear Equations Practice

Question

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Question
Solve for x
. 

4(3x+2)=32
 

(1 point)
x=

Answer 1

To solve the equation \( 4(3x + 2) = 32 \):

1. Start by distributing the \( 4 \) on the left side of the equation:

   \[ 4 \cdot 3x + 4 \cdot 2 = 32 \] This simplifies to: \[ 12x + 8 = 32 \]

2. Next, isolate the term with \( x \) by subtracting \( 8 \) from both sides:

   \[ 12x + 8 - 8 = 32 - 8 \] This simplifies to: \[ 12x = 24 \]

3. Now, solve for \( x \) by dividing both sides by \( 12 \):

   \[ x = \frac{24}{12} \] This simplifies to: \[ x = 2 \]

Therefore, the solution is:

\[ \boxed{2} \]