Question

(3x+1)(8x-7)--4x-1)(6x-3)=15

Answer 1

Ответ:

Пошаговое объяснение:

(3x+1)(8x-7)-(4x-1)(6x-3)=15

24x² - 21x + 8x - 7 - 24x² + 12x + 6x - 3 = 15

5x - 10 = 15

5x = 15 + 10

5x = 25

x = 25 : 5

x = 5

Answer 2

Let's solve the equation step by step:

Given equation: (3x + 1)(8x - 7) - (4x - 1)(6x - 3) = 15

Step 1: Expand the expressions using the distributive property.

(3x + 1)(8x - 7) expands to 3x * 8x + 3x * (-7) + 1 * 8x + 1 * (-7) = 24x^2 - 21x + 8x - 7

(4x - 1)(6x - 3) expands to 4x * 6x + 4x * (-3) - 1 * 6x - 1 * (-3) = 24x^2 - 12x - 6x + 3

Step 2: Simplify the equation.

(24x^2 - 21x + 8x - 7) - (24x^2 - 12x - 6x + 3) = 15

Step 3: Combine like terms.

24x^2 - 21x + 8x - 7 - 24x^2 + 12x + 6x - 3 = 15

Step 4: Continue simplifying.

(-21x + 8x + 12x) + (-7 - 3) = 15

Step 5: Combine like terms again.

(-1x) + (-10) = 15

Step 6: Simplify further.

-1x - 10 = 15

Step 7: Move constant term to the right side.

-1x = 15 + 10

Step 8: Add constants.

-1x = 25

Step 9: Divide by the coefficient of x to solve for x.

x = 25 / (-1)

Step 10: Calculate the final value of x.

x = -25

Therefore, the value of x that satisfies the given equation is -25.