Simplifying and Isolating Variables: Solving the Equation 2(3x + 1) = 7x – 5

2 (3x + 1) = 7x – 5

To solve this equation, we need to simplify and isolate the variable x

To solve this equation, we need to simplify and isolate the variable x. Let’s begin:

Start by distributing the number 2 to the terms inside the parentheses:

6x + 2 = 7x – 5

Now, let’s isolate the x terms on one side of the equation by subtracting 6x from both sides:

(6x + 2) – 6x = (7x – 5) – 6x

Simplifying:

2 = x – 5

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

2 + 5 = (x – 5) + 5

Simplifying again:

7 = x

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

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