Question

2,5x-8=12-2,5x; 16,4x-4,8=6,4x+5,2;

Answer 1

2,5x-8=12-2,5x
2,5х+2,5х=12+8
5х=20
х=20:5
х=4

16,4x-4,8=6,4x+5,2;
16,4х-6,4х=5,2+4,8
10х=10
х=10:10
х=1

Answer 2

To solve these equations, let's start with the first one:

1. 2.5x - 8 = 12 - 2.5x

Step 1: Get all the x terms on one side of the equation and the constant terms on the other side.

Add 2.5x to both sides:

2.5x + 2.5x - 8 = 12

Step 2: Simplify the equation:

5x - 8 = 12

Step 3: Now, get the constant term on one side by adding 8 to both sides:

5x = 12 + 8 5x = 20

Step 4: Finally, solve for x by dividing both sides by 5:

x = 20 / 5 x = 4

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

Now let's move on to the second equation:

2. 16.4x - 4.8 = 6.4x + 5.2

Step 1: Get all the x terms on one side of the equation and the constant terms on the other side.

Subtract 6.4x from both sides:

16.4x - 6.4x - 4.8 = 5.2

Step 2: Simplify the equation:

10x - 4.8 = 5.2

Step 3: Now, get the constant term on one side by adding 4.8 to both sides:

10x = 5.2 + 4.8 10x = 10

Step 4: Finally, solve for x by dividing both sides by 10:

x = 10 / 10 x = 1

So, the solution to the second equation is x = 1.

Therefore, the solutions to the given equations are x = 4 and x = 1, respectively.