Solving the Equation: Distributing, Simplifying, and Isolating the Variable

2(3x + 1) = 7x – 5

To solve this equation, we will distribute the 2 to the terms inside the parentheses on the left side of the equation

To solve this equation, we will distribute the 2 to the terms inside the parentheses on the left side of the equation.

2 * 3x = 6x
2 * 1 = 2

After distributing 2 to the terms in the parentheses, the equation becomes:

6x + 2 = 7x – 5

Next, we will isolate the variable x on one side of the equation. To do this, we can subtract 6x from both sides of the equation:

6x + 2 – 6x = 7x – 5 – 6x

After simplification, the equation becomes:

2 = x – 5

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

2 + 5 = x – 5 + 5

After simplification, we have:

7 = x

So the solution to the equation is x = 7.

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