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3(2x – 1) = 4x + 9

x = [?]

1 answer

To solve the equation \( 3(2x - 1) = 4x + 9 \), follow these steps:

  1. Distribute the 3 on the left side: \[ 6x - 3 = 4x + 9 \]

  2. Next, get all the terms involving \( x \) on one side of the equation. Subtract \( 4x \) from both sides: \[ 6x - 4x - 3 = 9 \] This simplifies to: \[ 2x - 3 = 9 \]

  3. Now, add 3 to both sides to isolate the \( 2x \): \[ 2x = 9 + 3 \] This simplifies to: \[ 2x = 12 \]

  4. Finally, divide both sides by 2 to solve for \( x \): \[ x = \frac{12}{2} = 6 \]

Thus, the solution is: \[ x = 6 \]