Question

-6(х-4)+5(х-3)-4(-2х+3)-6(5 - х) ​

Answer 1

Ответ:

-6 * ( x-4) + 5 * (x-3) = -6x + 24 + 5x - 15 = -x + 9 или 9 - х

-4 * (-2х+3) - 6 * (5-х) = 8x -12 -30 + 6x = 14x - 42 или 14 * (x-3)

Answer 2

To simplify the expression -6(х-4)+5(х-3)-4(-2х+3)-6(5 - х), you can use the distributive property (also known as the distributive law or the distributive property of multiplication over addition/subtraction) to expand and then combine like terms. Here's the step-by-step simplification:

1. Start by applying the distributive property to each term:

-6(х-4) = -6х + 24 5(х-3) = 5х - 15 -4(-2х+3) = 8х - 12 -6(5 - х) = 30 - 6х

2. Now, rewrite the expression with the simplified terms:

-6х + 24 + 5х - 15 + 8х - 12 + 30 - 6х

3. Next, combine like terms by adding or subtracting coefficients of x:

(-6х + 5х + 8х - 6х) + (24 - 15 - 12 + 30)

4. Simplify each group of like terms separately:

(-6х + 5х + 8х - 6х) = 1х (24 - 15 - 12 + 30) = 27

5. Combine the simplified terms:

1х + 27

So, the simplified expression is 1x + 27, which can be further simplified as just x + 27.