Solve for x: 2x - 4 = 3x + 6.

• A. x = -6
• B. x = 0
• C. x = -10
• D. x = 10

Answer: (C)

Solving a linear equation means getting x by itself on one side and moving numbers to the other side. Start with 2x - 4 equals 3x + 6. If we move the x terms to one side, subtract 2x from both sides and we get -4 = x + 6. Then isolate x by removing the constant on the right: subtract 6 from both sides to get -10 = x, so x = -10.

You can check quickly by plugging back: 2(-10) - 4 = -20 - 4 = -24, and 3(-10) + 6 = -30 + 6 = -24. Both sides match, so x = -10 is correct.

If you try other values, they won’t satisfy the equation. For example, x = -6 gives -16 on the left and -12 on the right, which aren’t equal, so it’s not a solution.