Question

Розв'язати приклади 1) -6(2х + 1) = - 42 – 3х; 2) 8(2х + 1) + 1 = 3(4х – 2) – 1; 3) 0,3(8 – 3х) = 3,2 – 0,8(х – 7); 4) 0,2(7 – 2х) = 2,3 – 0,3(х – 6).

Answer 1

1) х=16/3 2)х=4 3)-0,1х 4) х=-27

Answer 2

1. -6(2x + 1) = -42 - 3x

Let's solve this equation step by step:

Expand the left side of the equation by distributing -6 to both terms inside the parentheses:

-12x - 6 = -42 - 3x

Now, let's isolate the variable terms (terms with 'x') on one side and constants on the other side:

-12x + 3x = -42 + 6

Combine like terms:

-9x = -36

Now, divide both sides by -9 to solve for 'x':

x = -36 / -9

x = 4

So, the solution is x = 4.

2. 8(2x + 1) + 1 = 3(4x - 2) - 1

Let's solve this equation step by step:

Expand both sides of the equation:

16x + 8 + 1 = 12x - 6 - 1

Now, let's isolate the variable terms (terms with 'x') on one side and constants on the other side:

16x - 12x = -6 - 1 - 8 - 1

Combine like terms:

4x = -16

Now, divide both sides by 4 to solve for 'x':

x = -16 / 4

x = -4

So, the solution is x = -4.

3. 0.3(8 - 3x) = 3.2 - 0.8(x - 7)

Let's solve this equation step by step:

Expand both sides of the equation:

2.4 - 0.3(3x) = 3.2 - 0.8x + 6.4

Now, simplify the equation:

2.4 - 0.9x = 3.2 - 0.8x + 6.4

Now, let's isolate the variable terms (terms with 'x') on one side and constants on the other side:

-0.9x + 0.8x = 3.2 - 6.4 + 2.4

Combine like terms:

-0.1x = -0.8

Now, divide both sides by -0.1 to solve for 'x':

x = -0.8 / -0.1

x = 8

So, the solution is x = 8.

4. 0.2(7 - 2x) = 2.3 - 0.3(x - 6)

Let's solve this equation step by step:

Expand both sides of the equation:

1.4 - 0.2(2x) = 2.3 - 0.3x + 1.8

Now, simplify the equation:

1.4 - 0.4x = 2.3 - 0.3x + 1.8

Now, let's isolate the variable terms (terms with 'x') on one side and constants on the other side:

-0.4x + 0.3x = 2.3 - 1.8 - 1.4

Combine like terms:

-0.1x = -0.9

Now, divide both sides by -0.1 to solve for 'x':

x = -0.9 / -0.1

x = 9

So, the solution is x = 9.