what is the postulate for this
2(x + 3) = 2x + 6
Do you mean the distributive property of multiplication?
http://www.mathsisfun.com/definitions/distributive-law.html
The postulate that can be applied to solve the equation 2(x + 3) = 2x + 6 is the Distributive Property of Multiplication over Addition.
To solve the equation, follow these steps:
Step 1: Distribute the coefficient 2 to the terms inside the parentheses:
2 * x + 2 * 3 = 2x + 6
Step 2: Simplify both sides of the equation by performing the multiplication:
2x + 6 = 2x + 6
Step 3: Notice that the equation is already in a simplified form and that both sides are identical. This means that the equation has an infinite number of solutions. The value of 'x' can be any real number, and the equation will remain true.
In summary, the postulate used here is the Distributive Property of Multiplication over Addition, which allows us to simplify expressions by distributing a factor to each term inside parentheses.