Question

1)4x-8=x+4; 2)5(x-2)=3x-6:

Answer 1

Ответ:

1) 4.  2) 2.

Пошаговое объяснение:

1)4x-8=x+4             2)5(x-2)=3x-6

4x-x=4+8                 5x-10=3x-6

3x=12                       5x-3x=-6+10

x=4                           2x=4

                                 x=2

Answer 2

Let's solve the equations:

1. 4x - 8 = x + 4

To solve for x, you need to isolate x on one side of the equation. You can do this by performing the same operation on both sides of the equation to maintain its balance.

First, let's get the x terms on one side by subtracting x from both sides:

4x - x - 8 = x - x + 4

This simplifies to:

3x - 8 = 4

Now, add 8 to both sides to isolate 3x:

3x - 8 + 8 = 4 + 8

3x = 12

Finally, divide both sides by 3 to solve for x:

3x / 3 = 12 / 3

x = 4

So, the solution to the first equation is x = 4.

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

Let's solve for x in this equation:

First, distribute the 5 on the left side of the equation:

5x - 10 = 3x - 6

Now, let's get the x terms on one side by subtracting 3x from both sides:

5x - 3x - 10 = 3x - 3x - 6

This simplifies to:

2x - 10 = -6

Now, add 10 to both sides:

2x - 10 + 10 = -6 + 10

2x = 4

Finally, divide both sides by 2 to solve for x:

2x / 2 = 4 / 2

x = 2

So, the solution to the second equation is x = 2.