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

2x – 4 = -4 (x – 5)

To solve the equation 2x – 4 = -4 (x – 5), we can start by distributing the -4 to the terms inside the parentheses

To solve the equation 2x – 4 = -4 (x – 5), we can start by distributing the -4 to the terms inside the parentheses.

-4 (x – 5) = -4 * x – 4 * (-5)
=-4x + 20

So the equation becomes:

2x – 4 = -4x + 20

Now, let’s simplify the equation by combining like terms. We can do this by moving all the x terms to one side of the equation and the constant terms to the other side.

To move -4x to the left side, we can add 4x to both sides of the equation:

2x – 4 + 4x = -4x + 20 + 4x

This simplifies to:

6x – 4 = 20

Next, let’s move the -4 to the right side by adding 4 to both sides of the equation:

6x – 4 + 4 = 20 + 4

This simplifies to:

6x = 24

Now, to isolate x, we need to divide both sides of the equation by 6:

(6x)/6 = 24/6

Simplifying further, we get:

x = 4

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

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