Question

5x=4(x+0,2) 3х=3,2(х-0,4) 3,2х+1,2х=33

Answer 1

1) 5x=4x+0,8
5x-4x=0,8
x=0,8

2) 3x=3,2(x-0,4)
3x=3,2x-1,28
3x-3,2x=-1,28
0,2x=-1,28
x=-6,4

3) 3,2x+1,2x=33
4,4x=33
x=7,5

Answer 2

To solve the equation 5x = 4(x + 0.2) + 3x = 3.2(x - 0.4) + 3.2x + 1.2x = 33, we need to simplify and combine like terms to isolate the variable x.

Let's break down the equation step by step:

Step 1: Distribute and simplify 5x = 4x + 0.8 + 3x = 3.2x - 1.28 + 3.2x + 1.2x = 33

Step 2: Combine like terms 5x = 4x + 3x + 0.8 = 3.2x + 3.2x + 1.2x - 1.28 = 33

Step 3: Combine like terms on each side 5x = 7x + 0.8 = 7.6x - 1.28 = 33

Step 4: Move the variables to one side and the constants to the other side 5x - 7x = -0.8 = 7.6x - 33

Step 5: Combine like terms -2x = -0.8 = 7.6x - 33

Step 6: Move all the terms involving x to one side and the constant to the other side -2x - 7.6x = -33 + 0.8

Step 7: Combine like terms -9.6x = -32.2

Step 8: Solve for x by dividing both sides by -9.6 x = -32.2 / -9.6

Step 9: Simplify the result x ≈ 3.35

So, the solution to the equation 5x = 4(x + 0.2) + 3x = 3.2(x - 0.4) + 3.2x + 1.2x = 33 is x ≈ 3.35.