Question

1. a) 4x-5+1,5+2 b) 8x-(3x+5)+(2x-9) c) 5(x-0,4)-7(2x+1,5) d) 2,3x-(2,3x+0,5)-0,2(5x-3) 2. a) 3(x-8)+2(x+3)+24 b) 2(x-1)-3(x-2)+x c) 3,2(2x+1)+1,6(4x+2)+1,7  d) 7,5(x-4)-2,5(3x-12)+5

Answer 1

1)

а) 4x-1.5=0

4x=1.5

x=1.5/4

б) 8x-3x-5+2x-9=0

7x-14=0

x=2

c) 5x-2-14x-10.5=0

-9x-12.5=0

-9x=12.5

x=-12.5/9

d) 2.3x-2.3x-0.5-x+0.6=0

x=-0.6+0.5

x=-0.1

2)

a) 3x-24+2x+6+24=0

5x=-6

x=-6/5

b) 2x-2-3x+6+x=0

-x=-4

x=4

c) 6.4x+3.2+6.4x+3.2+1.7=0

12.8x=-8.1

x=-8.1/12.8

d) 7.5x-30-7.5x+30+5=0

0x=5 - тут равно надо зачеркнуть, потому что на ноль делить нельзя!

Answer 2

Let's simplify the given expressions:

1a) 4x - 5 + 1.5 + 2 Simplifying: 4x - 2.5 + 2 Combining like terms: 4x - 0.5

1b) 8x - (3x + 5) + (2x - 9) Simplifying the parentheses: 8x - 3x - 5 + 2x - 9 Combining like terms: 7x - 14

1c) 5(x - 0.4) - 7(2x + 1.5) Distributing: 5x - 2 - 14x - 10.5 Combining like terms: -9x - 12.5

1d) 2.3x - (2.3x + 0.5) - 0.2(5x - 3) Simplifying the parentheses: 2.3x - 2.3x - 0.5 - 1x + 0.6 Combining like terms: -0.4x + 0.1

2a) 3(x - 8) + 2(x + 3) + 24 Distributing: 3x - 24 + 2x + 6 + 24 Combining like terms: 5x + 6

2b) 2(x - 1) - 3(x - 2) + x Distributing: 2x - 2 - 3x + 6 + x Combining like terms: 0x + 4

2c) 3.2(2x + 1) + 1.6(4x + 2) + 1.7 Distributing: 6.4x + 3.2 + 6.4x + 3.2 + 1.7 Combining like terms: 12.8x + 8.1

2d) 7.5(x - 4) - 2.5(3x - 12) + 5 Distributing: 7.5x - 30 - 7.5x + 30 + 5 Combining like terms: 5

Therefore, the simplified expressions are:

1a) 4x - 0.5 1b) 7x - 14 1c) -9x - 12.5 1d) -0.4x + 0.1

2a) 5x + 6 2b) 4 2c) 12.8x + 8.1 2d) 5