(12x-5)-(7x-11)

less than a minute read Jun 16, 2024

Simplifying the Expression: (12x - 5) - (7x - 11)

This article will guide you through simplifying the expression (12x - 5) - (7x - 11).

Understanding the Expression

The expression involves parentheses, variables, and constants. To simplify it, we need to apply the distributive property and combine like terms.

Applying the Distributive Property

The minus sign before the second parenthesis indicates that we need to distribute it to both terms inside. This means multiplying each term inside the second parenthesis by -1.

The expression becomes:

(12x - 5) + (-1 * 7x) + (-1 * -11)

Simplifying this further:

(12x - 5) - 7x + 11

Combining Like Terms

Now we combine the terms with 'x' and the constant terms separately:

(12x - 7x) + (-5 + 11)

This simplifies to:

5x + 6

Final Result

Therefore, the simplified form of the expression (12x - 5) - (7x - 11) is 5x + 6.