Question

1) 0.4(х-3)-1.6=5(0.1х-0.5) 2) 1.5(2х-5)+2х=5(0.5-1.5)-10

Answer 1

0,4(х-3)-1,6=5(0,1х-0,5)
0,4х-1,2-1,6=0,5х-2,5
0,4х-0,5х=1,2+1,6-2,5
-0,1х=2,8-2,5
-0,1х=0,3
-х=0,3/0,1
-х=3
х=-3

1,5(2х-5)+2х=5(0,5-1,5)-10
3х-7,5+2х=2,5-7,5-10
3х+2х=2,5-7,5-10,+7,5
5х=2,5-10
5х=-7,5
х=-7,5/5
х=-1,5

Answer 2

Let's solve the given equations step by step:

1. 0.4(x - 3) - 1.6 = 5(0.1x - 0.5)

First, distribute the 0.4 and 5 to their respective terms:

0.4x - 1.2 - 1.6 = 0.5x - 2.5

Combine like terms:

0.4x - 2.8 = 0.5x - 2.5

Next, move all terms involving x to one side of the equation and the constant terms to the other side:

0.4x - 0.5x = -2.5 + 2.8

Simplify:

-0.1x = 0.3

Divide both sides by -0.1 to solve for x:

x = 0.3 / -0.1

x = -3

Therefore, the solution to the equation is x = -3.

2. 1.5(2x - 5) + 2x = 5(0.5 - 1.5) - 10

First, distribute the 1.5 and 5 to their respective terms:

3x - 7.5 + 2x = 2.5 - 7.5 - 10

Combine like terms:

5x - 7.5 = -15

Next, move the constant terms to the other side of the equation:

5x = -15 + 7.5

Simplify:

5x = -7.5

Divide both sides by 5 to solve for x:

x = -7.5 / 5

x = -1.5

Therefore, the solution to the equation is x = -1.5.