Question

1) 4(x+4)-5(2-x)-(5+4)x-3 2) 3(x+4)-3(5-x)-x-3 3) 4(x+3)-(2-x)-(1+4)x-2 4) 3(x+5)-4(5-x)-(4+3)x-1 5) 3(x+2)-4(1-x)-x-4 6) 4(x+2)-4(2-x)-(4+4)x-3 7) 5(x+3)-3(1-x)-x-3 8) 2(x-4)-4(2-x)-(4+2)x-1 9) 4(x+1)-(5-x)-x-3

Answer 1

Ответ:1) 4(х+3)-2(3-х)-х-4=4х+12-6+2х-х-4=5х+2

2) 5(х+2)-3(4-х)-((3+5)х-2=5х+10-12+3х-3х-15-2=5х-19

3) 3(х+5)-5(4-х)-х-3=3х+15-20+5х-х-3=7х-8

4) 5(х+3)-2(1-х)-(2+5)х-2=5х+15-2+2х-2х-5х-2=11

5) 3(х+4)-(1-х)-(1+3)х-3=3х+12-1+х-х-3х-3=8

6) 5(х+2)-5(2-х)-х-1=5х+10-10+5х-х-1=9х-1

7) 2(х+1)-2(3-х)-(2+2)х-5=2х+2-6+2х-2х-2х-5=-9

8) х+1-(3-х)-х-1=х+1-3+х-х-1=х-3

9) 4(х+1)-4(4-х)-(4+4)х-3=4х+4-16+4х-4х-4х-3=-15

10 5(х+5)-5(3-х)-х-1=5х+25-15+5х-х-1=9х+9

Answer 2

Let's simplify each of the expressions:

1. 4(x + 4) - 5(2 - x) - (5 + 4)x - 3 = 4x + 16 - 10 + 5x - 9x - 3 = 4x + 5x - 9x + 16 - 10 - 3 = 0x + 12 = 12

2. 3(x + 4) - 3(5 - x) - x - 3 = 3x + 12 - 15 + 3x - x - 3 = 3x + 3x - x + 12 - 15 - 3 = 5x - 6

3. 4(x + 3) - (2 - x) - (1 + 4)x - 2 = 4x + 12 - 2 + x - x - 4x - 2 = 4x + x - x - 4x + 12 - 2 - 2 = 0x + 8 = 8

4. 3(x + 5) - 4(5 - x) - (4 + 3)x - 1 = 3x + 15 - 20 + 4x - 7x - 1 = 3x + 4x - 7x + 15 - 20 - 1 = 0x - 6 = -6

5. 3(x + 2) - 4(1 - x) - x - 4 = 3x + 6 - 4 + 4x - x - 4 = 3x + 4x - x + 6 - 4 - 4 = 6x - 2

6. 4(x + 2) - 4(2 - x) - (4 + 4)x - 3 = 4x + 8 - 8 + 4x - 4x - 16 - 3 = 4x + 4x - 4x + 8 - 8 - 16 - 3 = 4x - 19

7. 5(x + 3) - 3(1 - x) - x - 3 = 5x + 15 - 3 + 3x + x - 3 = 5x + 3x + x + 15 - 3 - 3 = 9x + 9

8. 2(x - 4) - 4(2 - x) - (4 + 2)x - 1 = 2x - 8 - 8 + 4x - 6x - 1 = 2x + 4x - 6x - 8 - 8 - 1 = 0x - 25 = -25

9. 4(x + 1) - (5 - x) - x - 3 = 4x + 4 - 5 + x - x - 3 = 4x + x - x + 4 - 5 - 3 = 4x - 4 = 4(x - 1)

Therefore, the simplified expressions are:

1. 12
2. 5x - 6
3. 8
4. -6
5. 6x - 2
6. 4x - 19
7. 9x + 9
8. -25
9. 4(x - 1)