Solving Math Equations: Isolating the Variable x with the Distributive Property

3 (5x – 2) + 2 = 26

To solve the given equation, we need to isolate the variable x

To solve the given equation, we need to isolate the variable x.

Let’s start by applying the distributive property to the equation:
3 * 5x – 3 * 2 + 2 = 26

This simplifies to:
15x – 6 + 2 = 26

Combining like terms:
15x – 4 = 26

Next, we will add 4 to both sides of the equation to isolate the variable:
15x – 4 + 4 = 26 + 4

This simplifies to:
15x = 30

To solve for x, we divide both sides of the equation by 15:
15x/15 = 30/15

This simplifies to:
x = 2

Therefore, the solution to the equation 3(5x – 2) + 2 = 26 is x = 2.

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