Question

6) 24 - 2 (5x +4)= 6; a) 20+4 (2x - 5)= 14x + 12; 6) 15x – 1= 3(7x - 1) – 2; B) – 8(11-2x) +40=3(5x – 4);

Answer 1

Відповідь - ответ)))

Answer 2

Let's solve each equation step by step:

a) 24 - 2(5x + 4) = 6

First, distribute the -2 to the terms inside the parentheses: 24 - 10x - 8 = 6

Combine like terms: 16 - 10x = 6

Next, isolate the variable by subtracting 16 from both sides: -10x = 6 - 16 -10x = -10

Finally, divide both sides by -10 to solve for x: x = -10 / -10 x = 1

Therefore, the solution to the equation is x = 1.

b) 20 + 4(2x - 5) = 14x + 12

First, distribute the 4 to the terms inside the parentheses: 20 + 8x - 20 = 14x + 12

Combine like terms: 8x = 14x + 12 - 20 8x - 14x = -8

Combine like terms again: -6x = -8

Now, divide both sides by -6 to solve for x: x = -8 / -6 x = 4/3 or approximately 1.33

Therefore, the solution to the equation is x = 4/3 or approximately 1.33.

c) 15x - 1 = 3(7x - 1) - 2

First, distribute the 3 to the terms inside the parentheses: 15x - 1 = 21x - 3 - 2

Combine like terms: 15x - 1 = 21x - 5

Next, isolate the variable by subtracting 15x from both sides: -1 = 21x - 5 - 15x

Simplify: -1 = 6x - 5

Now, add 5 to both sides: -1 + 5 = 6x - 5 + 5

Simplify further: 4 = 6x

Finally, divide both sides by 6 to solve for x: x = 4 / 6 x = 2 / 3 or approximately 0.67

Therefore, the solution to the equation is x = 2/3 or approximately 0.67.

d) -8(11 - 2x) + 40 = 3(5x - 4)

First, distribute the -8 to the terms inside the parentheses: -88 + 16x + 40 = 15x - 12

Combine like terms: 16x - 48 = 15x - 12

Next, isolate the variable by subtracting 15x from both sides: 16x - 15x - 48 = 15x - 15x - 12

Simplify: x - 48 = -12

Now, add 48 to both sides: x - 48 + 48 = -12 + 48

Simplify further: x = 36

Therefore, the solution to the equation is x = 36.

Please let me know if there's anything else I can help you with!