Question

Вариант 1 1. 14 – (x – 2) = 23 2. -(x – 3) + 2(3 - x) = 5 3. -2(x + 1) : 3 = (3x - 1) : 2 4. |2x - 5| = 3 5. 2,1x + 0,3(7 – x ) = 2,1 6. 32x + (2 – 3x) = 5 6. -4x + 21 + (3 - x) = 12 8. x : 4 = 2x : 3 9. 12 – (x - 2) = 3 10. -(2x - 1) – 2(5 – 3x) = 0 ПОМОГИТЕ РЕШИТЬ!!

Answer 1

О мой бог...
1.14-х+2= 23
х=-9

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

Answer 2

Equation 1: 14 – (x – 2) = 23

To solve this equation, we can simplify it step by step:

1. Distribute the negative sign inside the parentheses: 14 - x + 2 = 23

2. Combine like terms: 16 - x = 23

3. Move the constant term to the other side of the equation: -x = 23 - 16 -x = 7

4. Multiply both sides of the equation by -1 to isolate x: x = -7

Therefore, the solution to Equation 1 is x = -7.

Equation 2: -(x – 3) + 2(3 - x) = 5

To solve this equation, we can simplify it step by step:

1. Distribute the negative sign and the 2 inside the parentheses: -x + 3 + 6 - 2x = 5

2. Combine like terms: -3x + 9 = 5

3. Move the constant term to the other side of the equation: -3x = 5 - 9 -3x = -4

4. Divide both sides of the equation by -3 to isolate x: x = -4 / -3 x = 4/3 or 1.33 (rounded to two decimal places)

Therefore, the solution to Equation 2 is x = 4/3 or x = 1.33.

Equation 3: -2(x + 1) / 3 = (3x - 1) / 2

To solve this equation, we can simplify it step by step:

1. Distribute the -2 and the 3 inside the parentheses: -2x - 2 / 3 = 3x - 1 / 2

2. Multiply both sides of the equation by 6 to eliminate the fractions: -12x - 4 = 9x - 3

3. Combine like terms: -12x - 9x = 3 - 4 -21x = -1

4. Divide both sides of the equation by -21 to isolate x: x = -1 / -21 x = 1/21 or 0.048 (rounded to three decimal places)

Therefore, the solution to Equation 3 is x = 1/21 or x = 0.048.

Equation 4: |2x - 5| = 3

To solve this equation, we need to consider two cases:

Case 1: 2x - 5 is positive 1. Set 2x - 5 equal to 3: 2x - 5 = 3

2. Add 5 to both sides of the equation: 2x = 3 + 5 2x = 8

3. Divide both sides of the equation by 2 to isolate x: x = 8 / 2 x = 4

Case 2: 2x - 5 is negative 1. Set 2x - 5 equal to -3 (since the absolute value of a negative number is positive): 2x - 5 = -3

2. Add 5 to both sides of the equation: 2x = -3 + 5 2x = 2

3. Divide both sides of the equation by 2 to isolate x: x = 2 / 2 x = 1

Therefore, the solutions to Equation 4 are x = 4 and x = 1.

Equation 5: 2.1x + 0.3(7 - x) = 2.1

To solve this equation, we can simplify it step by step:

1. Distribute the 0.3 inside the parentheses: 2.1x + 0.3 * 7 - 0.3x = 2.1

2. Combine like terms: 2.1x + 2.1 - 0.3x = 2.1

3. Combine the x terms: 2.1x - 0.3x = 2.1 - 2.1 1.8x = 0

4. Divide both sides of the equation by 1.8 to isolate x: x = 0 / 1.8 x = 0

Therefore, the solution to Equation 5 is x = 0.

Equation 6: 32x + (2 - 3x) = 5

To solve this equation, we can simplify it step by step:

1. Distribute the negative sign inside the parentheses: 32x + 2 - 3x = 5

2. Combine like terms: 32x - 3x + 2 = 5

3. Combine the x terms: 29x + 2 = 5

4. Move the constant term to the other side of the equation: 29x = 5 - 2 29x = 3

5. Divide both sides of the equation by 29 to isolate x: x = 3 / 29

Therefore, the solution to Equation 6 is x = 3/29.

Equation 7: -4x + 21 + (3 - x) = 12

To solve this equation, we can simplify it step by step:

1. Combine like terms: -4x + 3 - x + 21 = 12

2. Combine the x terms and the constant terms: -5x + 24 = 12

3. Move the constant term to the other side of the equation: -5x = 12 - 24 -5x = -12

4. Divide both sides of the equation by -5 to isolate x: x = -12 / -5 x = 12/5 or 2.4 (rounded to one decimal place)

Therefore, the solution to Equation 7 is x = 12/5 or x = 2.4.

Equation 8: x / 4 = 2x / 3

To solve this equation, we can simplify it step by step:

1. Multiply both sides of the equation by 12 to eliminate the fractions: 3x = 8x

2. Subtract 3x from both sides of the equation: 3x - 3x = 8x - 3x 0 = 5x

3. Divide both sides of the equation by 5 to isolate x: x = 0 / 5 x = 0

Therefore, the solution to Equation 8 is x = 0.

Equation 9: 12 - (x + 2) = 3

To solve this equation, we can simplify it step by step:

1. Distribute the negative sign inside the parentheses: 12 - x - 2 = 3

2. Combine like terms: 10 - x = 3

3. Move the constant term to the other side of the equation: -x = 3 - 10 -x = -7

4. Multiply both sides of the equation by -1 to isolate x: x = -7

Therefore, the solution to Equation 9 is x = -7.

Equation 10: -(2x - 1) - 2(5 - 3x) = 0

To solve this equation, we can simplify it step by step:

1. Distribute the negative