Solve for x: Breaking Down the Equation 84/(2*7) - (63 - 2x) = ?

To solve the expression $84:(2\cdot7)-(63-2x)$, we shall simplify step-by-step as follows:

• Firstly, simplify the division: $84 \div (2 \cdot 7)$.
  • Calculate $2 \cdot 7 = 14$.
  • Then, perform the division: $84 \div 14 = 6$.
• Now, substitute the value from the division back into the main expression: $6 - (63 - 2x)$.
• Simplify the expression inside the parentheses: $63 - 2x$.
• Finally, apply the subtraction:
  • Distribute the negative sign: $6 - 63 + 2x$.
  • Combine the constant terms: $-57 + 2x$.

Therefore, the expression simplifies to $2x - 57$.