Solving the Equation 2x – 4 = -4(x – 5): Step-by-Step Guide to Find the Solution

2x – 4 = -4 (x – 5)

To solve the equation 2x – 4 = -4(x – 5), we will follow these steps:

1

To solve the equation 2x – 4 = -4(x – 5), we will follow these steps:

1. Distribute the -4 on the right side of the equation:
-4(x – 5) = -4x + 20

The equation now becomes:
2x – 4 = -4x + 20

2. Combine like terms on each side of the equation:
2x + 4x = 20 + 4

Simplifying further:
6x = 24

3. To isolate x, divide both sides of the equation by 6:
6x/6 = 24/6

As a result, we get:
x = 4

4. Therefore, the solution to the equation 2x – 4 = -4(x – 5) is x = 4.

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