Question

| 1) (7x + 3) – (5x - 7) = (2x - 5) - (3x - 6); 2) 3(2x - 3) + 4(2 - 5x) = 7(2 – 3x) - 2(3x - 1); 3) (5x-1,6) +0,75-(3x +13) = 5 – 3x ; 4) 2. (3,5x – 4) – 3. (3x + 1) = 2 (7x-1,4).

Answer 1

Ответ:

Пошаговое объяснение:

1) (7x+3)-(5x-7)=(2x-5)-(3x-6)

7x+3-5x+7=2x-5-3x+6

7x-5x-2x+3x=-5+6-3-7

3x=-9

x=-3

2) 3(2x-3)+4(2-5x)=7(2-3x)-2(3x-1)

6x-9+8-20x=14-21x-6x+2

6x-20x+21x+6x=14+2+9-8

13x=17

x=17/13

3) (5x-1,6)+0,75-(3x+13)=5-3x

5x-1,6+0,75-3x-13=5-3x

5x-3x+3x=5+1,6-0,75+13

5x=18,85

x=3,77

4) 2(3,5x-4)-3(3x+1)=2(7x-1,4)

7x-8-9x-3=14x-2,8

7x-9x-14x=-2,8+8+3

-16x=8,2

x=-0,5125

Answer 2

Sure, I'd be happy to help you solve these equations step by step.

Equation 1: (7x + 3) - (5x - 7) = (2x - 5) - (3x - 6)

Let's start by simplifying each side of the equation:

On the left side: 7x + 3 - 5x + 7

On the right side: 2x - 5 - 3x + 6

Simplifying further: 2x + 10 = -x + 1

Now, let's isolate x on one side:

Add x to both sides: 2x + x + 10 = 1

Combine the x terms: 3x + 10 = 1

Subtract 10 from both sides: 3x = -9

Divide by 3: x = -3

Equation 2: 3(2x - 3) + 4(2 - 5x) = 7(2 - 3x) - 2(3x - 1)

Distribute the coefficients: 6x - 9 + 8 - 20x = 14 - 21x - 6x + 2

Combine like terms on each side: -14x - 1 = -27x + 16

Add 27x to both sides: 13x - 1 = 16

Add 1 to both sides: 13x = 17

Divide by 13: x = 17/13 (or approximately 1.31)

Equation 3: (5x - 1.6) + 0.75 - (3x + 13) = 5 - 3x

Simplify each side: 5x - 1.6 + 0.75 - 3x - 13 = 5 - 3x

Combine like terms on each side: 2x - 14.85 = 5 - 3x

Add 3x to both sides: 5x - 14.85 = 5

Add 14.85 to both sides: 5x = 19.85

Divide by 5: x = 3.97

Equation 4: 2(3.5x - 4) - 3(3x + 1) = 2(7x - 1.4)

Distribute the coefficients: 7x - 8 - 9x - 3 = 14x - 2.8

Combine like terms on each side: -2x - 11 = 14x - 2.8

Add 14x to both sides: 12x - 11 = -2.8

Add 11 to both sides: 12x = 8.2

Divide by 12: x = 0.6833 (approximately)

Please double-check my calculations as these are complex equations and errors can easily occur during the solving process.