Question

1)9+4x=8x-9 2)2(7+9x)=-6x+2 3)10-3(1-7x)=-4x-8 4)-2x+1+5(x-2)=-4(3-x)+1 5)(x-6)^2=(x-3)^2

Answer 1

Ответ смотри во вложении.

Я не записывала ответы в уравнениях.

Answer 2

Let's solve each of the equations one by one:

1. 9 + 4x = 8x - 9

Step 1: Let's move all the terms containing 'x' to one side and the constant terms to the other side. 9 + 4x - 8x = -9

Step 2: Simplify the equation. -4x = -9 - 9 -4x = -18

Step 3: Now, divide both sides by -4 to isolate 'x.' x = -18 / -4 x = 4.5

So the solution to the equation is x = 4.5.

2. 2(7 + 9x) = -6x + 2

Step 1: Distribute the 2 on the left side of the equation. 14 + 18x = -6x + 2

Step 2: Move all the terms containing 'x' to one side and the constant terms to the other side. 18x + 6x = 2 - 14

Step 3: Simplify the equation. 24x = -12

Step 4: Now, divide both sides by 24 to isolate 'x.' x = -12 / 24 x = -0.5

So the solution to the equation is x = -0.5.

3. 10 - 3(1 - 7x) = -4x - 8

Step 1: Distribute the -3 on the left side of the equation. 10 - 3 + 21x = -4x - 8

Step 2: Combine like terms. 7 + 21x = -4x - 8

Step 3: Move all the terms containing 'x' to one side and the constant terms to the other side. 21x + 4x = -8 - 7

Step 4: Simplify the equation. 25x = -15

Step 5: Now, divide both sides by 25 to isolate 'x.' x = -15 / 25 x = -0.6

So the solution to the equation is x = -0.6.

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

Step 1: Distribute the 5 and -4 on the left side of the equation. -2x + 1 + 5x - 10 = -12 + 4x + 1

Step 2: Combine like terms. 3x - 9 = 4x - 11

Step 3: Move all the terms containing 'x' to one side and the constant terms to the other side. 3x - 4x = -11 + 9

Step 4: Simplify the equation. -x = -2

Step 5: Now, multiply both sides by -1 to isolate 'x.' x = 2

So the solution to the equation is x = 2.

5. (x - 6)^2 = (x - 3)^2

Step 1: Expand both sides of the equation. x^2 - 12x + 36 = x^2 - 6x + 9

Step 2: Move all the terms to one side to set the equation to zero. x^2 - x^2 - 12x + 6x + 36 - 9 = 0

Step 3: Combine like terms. -6x + 27 = 0

Step 4: Move the constant term to the other side. -6x = -27

Step 5: Now, divide both sides by -6 to isolate 'x.' x = -27 / -6 x = 4.5

So the solution to the equation is x = 4.5.

Please double-check the calculations and solutions for accuracy. If you find any mistakes, feel free to point them out!