Question

6) 0,6(5 + 2x) - 2 = 0,2x;7) -2,5(x - 4) + 0,5x = 24;8) 48-0.2(х+16)+1.2х=3.8​

Answer 1

6) 3+1,2х-2=0,2х

1,2х-0,2х=-1

Х=-1

7)-2,5х+10+0,5х=24

-2х=24-10

-2х=14

Х=14÷-2

Х=-7

8) 48-0.2х-3.2+1,2х=3,8

Х+44,8=3,8

Х=3,8-44,8

Х=-41

Answer 2

Let's solve the equations one by one:

6. 0.6(5 + 2x) - 2 = 0.2x

First, distribute 0.6 to (5 + 2x): 3 + 1.2x - 2 = 0.2x

Combine like terms: 1.2x + 1 = 0.2x

Subtract 0.2x from both sides: 1.2x - 0.2x + 1 = 0

Simplify: 1x + 1 = 0

Subtract 1 from both sides: 1x = -1

Therefore, the solution is x = -1.

7. -2.5(x - 4) + 0.5x = 24

First, distribute -2.5 to (x - 4): -2.5x + 10 + 0.5x = 24

Combine like terms: -2.5x + 0.5x + 10 = 24

Simplify: -2x + 10 = 24

Subtract 10 from both sides: -2x = 14

Divide by -2: x = -7

Therefore, the solution is x = -7.

8. 48 - 0.2(x + 16) + 1.2x = 3.8

First, distribute -0.2 to (x + 16): 48 - 0.2x - 3.2 + 1.2x = 3.8

Combine like terms: 0.2x + 1.2x + 48 - 3.2 = 3.8

Simplify: 1.4x + 44.8 = 3.8

Subtract 44.8 from both sides: 1.4x = -41

Divide by 1.4: x = -29.2857 (rounded to 7 decimal places)

Therefore, the solution is approximately x = -29.2857.