6x-(7x-12) =101

To solve the equation \(6x - (7x - 12) = 101\), follow these steps: 1. Distribute the negative sign across the parentheses: \[ 6x - 7x + 12 = 101 \] 2. Combine like terms: \[ -x + 12 = 101 \] 3. Subtract 12 from both sides: \[ -x = 101 - 12 \] \[ -x = 89 \] 4. Multiply both sides by -1 to solve for \(x\): \[ x = -89 \] Thus, the solution is: \[ \boxed{-89} \]