Solving the Equation 2(3x + 1) = 7x – 5: Step-by-Step Guide and Solution

2 (3x + 1) = 7x – 5

To solve this equation, we will begin by distributing the 2 to the terms inside the parentheses:

2 * 3x + 2 * 1 = 7x – 5

This simplifies to:

6x + 2 = 7x – 5

Now, let’s isolate the x terms on one side of the equation and the constant terms on the other side

To solve this equation, we will begin by distributing the 2 to the terms inside the parentheses:

2 * 3x + 2 * 1 = 7x – 5

This simplifies to:

6x + 2 = 7x – 5

Now, let’s isolate the x terms on one side of the equation and the constant terms on the other side. We can do this by subtracting 6x from both sides:

6x – 6x + 2 = 7x – 6x – 5

Simplifying further:

2 = x – 5

Next, let’s isolate the x term by adding 5 to both sides:

2 + 5 = x – 5 + 5

Simplifying further:

7 = x

Therefore, the solution to the equation 2(3x + 1) = 7x – 5 is x = 7.

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