Solving Equations: Applying the Distributive Property to Solve 2(3x + 1) = 7x – 5

2(3x + 1) = 7x – 5

To solve the equation 2(3x + 1) = 7x – 5, we will apply the distributive property

To solve the equation 2(3x + 1) = 7x – 5, we will apply the distributive property.

Start by multiplying 2 by each term inside the parentheses:

6x + 2 = 7x – 5

Now, we can isolate the variable x on one side of the equation. Let’s do this by subtracting 6x from both sides:

6x – 6x + 2 = 7x – 6x – 5

This simplifies to:

2 = x – 5

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

2 + 5 = x – 5 + 5

This simplifies to:

7 = x

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

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