How many solutions does each of the following equations have?
$4(x-3)=4x-12$

• A. One solution
• B. Infinite solutions
• C. No solution

Answer: (B)

Verified step by step guidance

1. Start by expanding the left side of the equation \(4\left(x - 3\right) = 4x - 12\) using the distributive property: multiply 4 by each term inside the parentheses.
2. After expansion, rewrite the equation in the form \$4x - 12 = 4x - 12$.
3. Next, observe both sides of the equation to see if they are identical expressions or if they differ.
4. If both sides are identical for all values of \(x\), this means the equation has infinitely many solutions.
5. If the expressions were different and could not be made equal, the equation would have no solution; if they were equal for only specific values of \(x\), it would have one solution.