Solving and Simplifying the Equation | 2x – 4 = -4(x – 5)

2x – 4 = -4 (x – 5)

To solve the equation 2x – 4 = -4(x – 5), we need to simplify and then isolate the variable x

To solve the equation 2x – 4 = -4(x – 5), we need to simplify and then isolate the variable x.

First, let’s simplify the equation by distributing -4 to both terms inside the parentheses:
2x – 4 = -4x + 20

Next, let’s combine like terms by adding 4x to both sides of the equation:
2x + 4x – 4 = -4x + 4x + 20
6x – 4 = 20

Now, let’s isolate the variable x by adding 4 to both sides of the equation:
6x – 4 + 4 = 20 + 4
6x = 24

Finally, to solve for x, divide both sides of the equation by 6:
(6x)/6 = 24/6
x = 4

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

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