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3(2x + 1) = 6(x + 0.5)

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To solve the equation \( 3(2x + 1) = 6(x + 0.5) \), follow these steps:

  1. Distribute on both sides: \[ 3(2x) + 3(1) = 6(x) + 6(0.5) \] This results in: \[ 6x + 3 = 6x + 3 \]

  2. Now, simplify both sides: \[ 6x + 3 = 6x + 3 \]

  3. Subtract \( 6x \) from both sides: \[ 3 = 3 \]

This shows that both sides of the equation are equal for any value of \( x \). Therefore, the solution to this equation is:

\[ \text{All real numbers } x \]

This indicates that the equation is an identity, meaning it holds true for any real number \( x \).