Question

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

Answer 1

1) 0,8(0,5+2х)=2х+0,4

0,4+1,6х=2х+0,4

1,6х=2х

1,6х-2х=0

-0,4х=0

х=0

2)0,2(х-3)-1=0,5(х+3)-0,43

0,2х-0,6-1=0,5+1,5-0,43

0,2х-1,6=0,5х+1,07

0,2х-0,5х=1,07+1,6

-0,3х=2,67

х= -8,9

Answer 2

Ответ: 1) 0; 2) -0.1.

Пошаговое объяснение:

1) 0,8(0,5+2х)=2х+0,4

Для начала раскроем скобки:

0.4+1.6х = 2х+0.4

Переносим х-ы в одну сторону, числа в другую:

1.6х-2х = 0,4 -0.4

0,4х = 0

х = 0

2)0,2(х-3)-1=0,5(х+3)-0,4

Раскрываем скобки:

0.2х - 0.6 -1 = 0.5х + 1.5 - 0.4

Переносим х-ы в одну сторону, числа в другую:

0.2х-0.5х= 0.6+1 + 1.5 - 0.4

-0.3х = 2.7

х = -0.1

Answer 3

Let's solve the equations step by step:

1. $0.8(0.5 + 2x) = 2x + 0.4$

Step 1: Distribute the $0.8$ on the left side of the equation: $0.8 \cdot 0.5 + 0.8 \cdot 2x = 2x + 0.4$

Step 2: Simplify the left side: $0.4 + 1.6x = 2x + 0.4$

Step 3: Get all $x$ terms on one side of the equation and constant terms on the other side: $1.6x - 2x = 0.4 - 0.4$

Step 4: Combine like terms: $-0.4x = 0$

Step 5: Solve for $x$: $x = \frac{0}{-0.4} = 0$

So, the solution to the equation is $x = 0$.

2. $0.2(x - 3) - 1 = 0.5(x + 3) - 0.4$

Step 1: Distribute the $0.2$ on the left side and $0.5$ on the right side of the equation: $0.2x - 0.6 - 1 = 0.5x + 1.5 - 0.4$

Step 2: Combine constant terms on both sides: $0.2x - 1.6 = 0.5x + 1.1$

Step 3: Get all $x$ terms on one side and constant terms on the other side: $0.2x - 0.5x = 1.1 + 1.6$

Step 4: Combine like terms: $-0.3x = 2.7$

Step 5: Solve for $x$: $x = \frac{2.7}{-0.3} = -9$

So, the solution to the equation is $x = -9$.