Question

10x-3=17x+25 3x+5=x-7 -(6x-5)=4x-9 11-4x=1-9x

Answer 1

10х - 3 = 17х + 25

10х - 17х = 25 + 3

- 7х = 28

х = 28 : (-7)

х = - 4

- - - - - - - - -

3х + 5 = х - 7

3х - х = - 7 - 5

2х = - 12

х = - 12 : 2

х = - 6

- - - - - - - - -

- (6х - 5) = 4х - 9

- 6х + 5 = 4х - 9

- 6х - 4х = - 9 - 5

- 10х = - 14

х = - 14 : (-10)

х = 1,4

- - - - - - - - -

11 - 4х = 1 - 9х

- 4х + 9х = 1 - 11

5х = - 10

х = - 10 : 5

х = - 2

Answer 2

To solve each equation, follow these steps:

1. Isolate the variable on one side of the equation.
2. Simplify both sides if necessary to make the variable's coefficient equal to 1.
3. Solve for the variable.

Let's go through each equation:

1. 10x - 3 = 17x + 25

Step 1: Move all terms containing 'x' to one side by subtracting 10x from both sides: -3 = 17x - 10x + 25

Step 2: Simplify: -3 = 7x + 25

Step 3: Move the constant term to the other side by subtracting 25 from both sides: -3 - 25 = 7x + 25 - 25 -28 = 7x

Step 4: Solve for 'x' by dividing both sides by 7: x = -28 / 7 x = -4

2. 3x + 5 = x - 7

Step 1: Move all terms containing 'x' to one side by subtracting x from both sides: 3x - x + 5 = x - x - 7

Step 2: Simplify: 2x + 5 = -7

Step 3: Move the constant term to the other side by subtracting 5 from both sides: 2x + 5 - 5 = -7 - 5 2x = -12

Step 4: Solve for 'x' by dividing both sides by 2: x = -12 / 2 x = -6

3. -(6x - 5) = 4x - 9

Step 1: Remove the negative sign by multiplying both sides by -1: -(6x - 5) * (-1) = (4x - 9) * (-1) 6x - 5 = -4x + 9

Step 2: Move all terms containing 'x' to one side by adding 4x to both sides: 6x + 4x - 5 = -4x + 4x + 9

Step 3: Simplify: 10x - 5 = 9

Step 4: Move the constant term to the other side by adding 5 to both sides: 10x - 5 + 5 = 9 + 5 10x = 14

Step 5: Solve for 'x' by dividing both sides by 10: x = 14 / 10 x = 1.4

4. 11 - 4x = 1 - 9x

Step 1: Move all terms containing 'x' to one side by adding 9x to both sides: 11 - 4x + 9x = 1 - 9x + 9x

Step 2: Simplify: 11 + 5x = 1

Step 3: Move the constant term to the other side by subtracting 11 from both sides: 11 - 11 + 5x = 1 - 11 5x = -10

Step 4: Solve for 'x' by dividing both sides by 5: x = -10 / 5 x = -2

So, the solutions to the given equations are:

1. x = -4
2. x = -6
3. x = 1.4
4. x = -2