Equations with Variables on Both Sides

Answer explanation

To solve for x, subtract 2x from both sides: 3x - 2x + 5 = 9. This simplifies to x + 5 = 9. Next, subtract 5 from both sides: x = 4. The correct answer is x = 2.

Answer explanation

To solve for x, first isolate x by subtracting 2x from both sides: 4x - 2x - 7 = 5. This simplifies to 2x - 7 = 5. Next, add 7 to both sides: 2x = 12. Finally, divide by 2 to get x = 6, which is the correct answer.

Answer explanation

To solve for x, first subtract 3x from both sides: 5x - 3x + 3 = 11. This simplifies to 2x + 3 = 11. Next, subtract 3 from both sides: 2x = 8. Finally, divide by 2 to get x = 4, which is the correct answer.

Answer explanation

To solve for x, first isolate x by subtracting 4x from both sides: 7x - 4x - 2 = 10. This simplifies to 3x - 2 = 10. Next, add 2 to both sides: 3x = 12. Finally, divide by 3 to get x = 4, which is the correct answer.

Answer explanation

To solve for x, first subtract 2x from both sides: 6x - 2x + 8 = 20. This simplifies to 4x + 8 = 20. Next, subtract 8 from both sides: 4x = 12. Finally, divide by 4: x = 3. Thus, the correct answer is x = 3.

Answer explanation

To solve for x, first isolate x by subtracting 6x from both sides: 10x - 6x = 9 + 3. This simplifies to 4x = 12. Dividing both sides by 4 gives x = 3, which is the correct answer.

Elijah and Isla are solving a puzzle:
3(p + 2) = -3(p + 2). Can you help them find the value of p?

• p = -2

• p = 2

• p = 3

• p = -3

Answer explanation

To solve 3(p + 2) = -3(p + 2), we can factor out (p + 2) since it appears on both sides. This gives us 3 = -3, which is not possible unless p + 2 = 0. Thus, p = -2 is the only solution.

Tags

CCSS.8.EE.C.7B