Question

Тендеу  3(x+5)=x-3                                                4(x-9)=3(x-8)

Answer 1

3(x+5)=x-3 

3х+15=х-3

3х+18=х

3х-х=-18

2х=-18

х=-9

 

4(x-9)=3(x-8)

4х-36=3х-24

4х-3х=36-24

х=12

 

Answer 2

To solve the equations, let's simplify and solve them one by one.

Equation 1: 3(x + 5) = x - 3

Let's simplify this equation step by step:

1. Distribute the 3 on the left side: 3x + 15 = x - 3

2. Move all the terms containing x to one side: 3x - x = -3 - 15

3. Combine like terms: 2x = -18

4. Divide both sides by 2 to solve for x: x = -18/2 x = -9

So the solution for Equation 1 is x = -9.

Now let's move on to Equation 2: 4(x - 9) = 3(x - 8)

1. Distribute the 4 on the left side and distribute the 3 on the right side: 4x - 36 = 3x - 24

2. Move all the terms containing x to one side: 4x - 3x = -24 + 36

3. Combine like terms: x = 12

So the solution for Equation 2 is x = 12.

Therefore, the solutions to the given equations are: Equation 1: x = -9 Equation 2: x = 12