Solving the equation 2(x + 1) = 6x – 46: Step-by-Step Solution and Final Answer

2 (x + 1) = 6x – 46

To solve the equation 2(x + 1) = 6x – 46, we can start by distributing the 2 to the terms inside the parentheses:

2x + 2 = 6x – 46

Next, we can move all the terms involving x to one side of the equation

To solve the equation 2(x + 1) = 6x – 46, we can start by distributing the 2 to the terms inside the parentheses:

2x + 2 = 6x – 46

Next, we can move all the terms involving x to one side of the equation. We can do this by subtracting 2x from both sides:

2 – 2x + 2 = 6x – 46 – 2x

Simplifying, we get:

2 = 4x – 46

To isolate the variable x, we can add 46 to both sides:

2 + 46 = 4x – 46 + 46

48 = 4x

Now, we can divide both sides by 4 to solve for x:

48/4 = 4x/4

12 = x

Therefore, the solution to the equation 2(x + 1) = 6x – 46 is x = 12.

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