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2(x - 6) + x = 3x -12

1 answer

To solve the equation \(2(x - 6) + x = 3x - 12\), we can follow these steps:

  1. Distribute the \(2\) on the left side: \[ 2(x - 6) = 2x - 12 \] Therefore, we rewrite the equation as: \[ 2x - 12 + x = 3x - 12 \]

  2. Combine like terms on the left side: \[ (2x + x) - 12 = 3x - 12 \] This simplifies to: \[ 3x - 12 = 3x - 12 \]

  3. Now, we can see that both sides of the equation are equal: \[ 3x - 12 = 3x - 12 \]

Since both sides are identical, this indicates that the equation is true for all values of \(x\). Thus, the solution is:

All real numbers.