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

2x – 4 = -4 (x – 5)

To solve the equation 2x – 4 = -4(x – 5), we will use the distributive property and solve for x

To solve the equation 2x – 4 = -4(x – 5), we will use the distributive property and solve for x.

First, let’s simplify the equation using the distributive property:

2x – 4 = -4x + 20

Now, let’s get rid of the parentheses by multiplying -4 by both terms inside:

2x – 4 = -4x + 20 becomes 2x – 4 = -4x + 20

Next, let’s combine like terms on each side of the equation:

On the left side, we have 2x, and on the right side, we have -4x. Let’s add 4x to both sides of the equation to move -4x to the left side of the equation:

2x + 4x – 4 = -4x + 4x + 20 becomes 6x – 4 = 20

Now, let’s isolate the variable x by adding 4 to both sides of the equation:

6x – 4 + 4 = 20 + 4 becomes 6x = 24

Finally, let’s solve for x by dividing both sides of the equation by 6:

6x/6 = 24/6 becomes x = 4

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

More Answers: