Question

combining like terms

1. 3x + 5x =
2. 2x - 6x =
3. -2x + 12x =
4. -5x - x =
5. 2x + 5 + 3x + 6 =
6. -5x + 6 + 2x - 2 =
7. 3 - 3x + 5x - 13 =
8. 9x - 5x + 2x - 1 =
9. 5x + 2 - 4x + 3 =
10. 6x + 7 + x - 8 =
11. -9x - x + 3 + 5 =
12. 11x - 21 + 11 - 6x =

5x + 11 6x - 1 -6x -10x + 8 2x - 10 10x 7x - 1 -4x 5x - 10 8x -3x + 4 x + 5

Explanation:

Step1: Combine x - terms

For 3x + 5x, we add the coefficients: (3 + 5)x=8x.

Step2: Combine x - terms

For 2x - 6x, we subtract the coefficients: (2 - 6)x=-4x.

Step3: Combine x - terms

For -2x + 12x, we add the coefficients: (-2 + 12)x = 10x.

Step4: Combine x - terms

For -5x - x, we subtract the coefficients: (-5-1)x=-6x.

Step5: Combine x - terms and constants

For 2x + 5+3x + 6, we combine x - terms (2x+3x = 5x) and constants (5 + 6=11), so the result is 5x + 11.

Step6: Combine x - terms and constants

For -5x + 6+2x - 2, we combine x - terms (-5x+2x=-3x) and constants (6 - 2 = 4), so the result is -3x + 4.

Step7: Combine x - terms and constants

For 3 - 3x+5x - 13, we combine x - terms (-3x+5x = 2x) and constants (3 - 13=-10), so the result is 2x - 10.

Step8: Combine x - terms and constants

For 9x - 5x+2x - 1, we combine x - terms (9x-5x + 2x=(9 - 5+2)x = 6x), so the result is 6x - 1.

Step9: Combine x - terms and constants

For 5x + 2-4x + 3, we combine x - terms (5x-4x=x) and constants (2 + 3 = 5), so the result is x + 5.

Step10: Combine x - terms and constants

For 6x + 7+x - 8, we combine x - terms (6x+x = 7x) and constants (7 - 8=-1), so the result is 7x - 1.

Step11: Combine x - terms and constants

For -9x - x+3 + 5, we combine x - terms (-9x-x=-10x) and constants (3 + 5 = 8), so the result is -10x + 8.

Step12: Combine x - terms and constants

For 11x - 21+11 - 6x, we combine x - terms (11x-6x = 5x) and constants (-21 + 11=-10), so the result is 5x - 10.

Answer:

1. 8x
2. -4x
3. 10x
4. -6x
5. 5x + 11
6. -3x + 4
7. 2x - 10
8. 6x - 1
9. x + 5
10. 7x - 1
11. -10x + 8
12. 5x - 10