Question

-6(3 - х) = 2х + 4(х - 4)

Answer 1

$-6(3 - x) = 2x + 4(x - 4)\\-18+6x=2x+4x-16\\-18+6x=6x-16\\-18=-16$

x∈∅

Answer 2

To solve the equation, we need to find the value of the variable "x" that satisfies the equation. Let's proceed with the solution step by step:

1. Distribute the terms on both sides of the equation:

-6(3 - x) = 2x + 4(x - 4)

First, distribute the -6 on the left side:

-6 * 3 + 6x = 2x + 4(x - 4)

2. Simplify the expressions:

-18 + 6x = 2x + 4x - 16

3. Combine like terms on both sides:

6x = 6x - 16

4. Isolate the variable "x" on one side. To do this, we'll move the term with "x" from the right side to the left side:

6x - 6x = -16

The "6x" term on the left side cancels out:

0 = -16

5. Evaluate the result:

The equation simplifies to 0 = -16, which is not a true statement. This means that there is no value of "x" that satisfies the equation, and the equation has no solution. It's possible that there was an error in the original equation or that the equation was written incorrectly. Double-check the equation to ensure its accuracy.