To solve the equation \( 4(2x - 3) = 5x + 6 \), we'll first distribute the \( 4 \) on the left side:
\[ 4(2x) - 4(3) = 5x + 6 \] \[ 8x - 12 = 5x + 6 \]
Next, we'll get all the terms involving \( x \) on one side and the constant terms on the other side. First, subtract \( 5x \) from both sides:
\[ 8x - 5x - 12 = 6 \] \[ 3x - 12 = 6 \]
Now, add \( 12 \) to both sides:
\[ 3x = 6 + 12 \] \[ 3x = 18 \]
Finally, divide by \( 3 \):
\[ x = \frac{18}{3} = 6 \]
So the solution is \( x = 6 \).
The correct answer is: x = 6
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