Solve for x: 7x + 2 = 9x - 6.

Solve for x: 7x + 2 = 9x - 6.

• A. 4
• B. 3
• C. 5
• D. 6

Answer: (A)

You're solving a linear equation where x appears on both sides, so the goal is to get x by itself. Move the x terms to one side and the constants to the other. Subtract 7x from both sides to remove x from the left: 2 = 2x - 6. Then add 6 to both sides to bring the constant over: 8 = 2x. Divide both sides by 2 to isolate x: x = 4. Check by substitution: on the left, 7x + 2 becomes 7(4) + 2 = 28 + 2 = 30. On the right, 9x - 6 becomes 9(4) - 6 = 36 - 6 = 30. Both sides match, so x = 4 satisfies the equation. Other values wouldn’t balance the two sides when plugged in, confirming this is the correct solution.

You're solving a linear equation where x appears on both sides, so the goal is to get x by itself. Move the x terms to one side and the constants to the other. Subtract 7x from both sides to remove x from the left: 2 = 2x - 6. Then add 6 to both sides to bring the constant over: 8 = 2x. Divide both sides by 2 to isolate x: x = 4.

Check by substitution: on the left, 7x + 2 becomes 7(4) + 2 = 28 + 2 = 30. On the right, 9x - 6 becomes 9(4) - 6 = 36 - 6 = 30. Both sides match, so x = 4 satisfies the equation. Other values wouldn’t balance the two sides when plugged in, confirming this is the correct solution.