Question

4(5 – 3x) = 3(2 – 4x) + 7

Answer 1

Ответ:

x∈∅

Объяснение:

4(5-3x)=3(2-4x)+7

20-12x=6-12x+7

-12x+12x=6+7-20

0=-7

0≠-7

x∈∅

Answer 2

Розкриваєм дужки:
20-12х=6-12х+7
Переносимо доданки:
-12х+12х=7-20
0=-13
0≠13, рівняння немає розв‘язку

Answer 3

To solve the equation 4(5 - 3x) = 3(2 - 4x) + 7, follow these steps:

1. Distribute the constants outside the parentheses to the terms inside the parentheses on both sides of the equation:

   4 * 5 - 4 * 3x = 3 * 2 - 3 * 4x + 7

2. Simplify each side of the equation:

   20 - 12x = 6 - 12x + 7

3. Combine like terms on each side:

   20 - 12x = 13 - 12x

4. Now, notice that the variable (x) terms on both sides of the equation are the same, and they will cancel out if you subtract 13 from both sides:

   20 - 12x - 13 = 13 - 12x - 13

   20 - 13 - 12x = 0 - 12x

   7 - 12x = -12x

5. At this point, you can see that you have -12x on both sides of the equation, which means that x can be any real number, as the variable cancels out. This equation doesn't have a unique solution for x; it's an identity that is true for all real values of x.

So, the solution to the equation is "x can be any real number."