Ask a New Question
Menu

3(x-7)=-21+3x

1 answer

To solve the equation \(3(x - 7) = -21 + 3x\), follow these steps:

  1. Distribute the \(3\) on the left side: \[ 3x - 21 = -21 + 3x \]

  2. Next, we want to get all terms involving \(x\) on one side and constant terms on the other. Since \(3x\) appears on both sides, we can subtract \(3x\) from both sides: \[ 3x - 3x - 21 = -21 + 3x - 3x \] This simplifies to: \[ -21 = -21 \]

Since both sides of the equation are equal, the equation is true for all values of \(x\). Therefore, the solution is:

All real numbers (the equation has infinitely many solutions).