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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