Simplifying Linear Expressions Involving Variables: 12x-(24x+35y)-(93x-48y)

Question

$12x-(24x+35y)-(93x-48y)=\text{?}$

00:00 Solve

00:03 Negative times positive is always negative

00:21 Negative times negative is always positive

00:29 Collect like terms

00:39 We'll use the commutative law to arrange the exercise

00:52 We'll solve one operation at a time

01:03 And this is the solution to the question

To solve this expression, let's proceed step-by-step:

Step 1: Apply the Distributive Property to remove the parentheses:
The original expression is $12x - (24x + 35y) - (93x - 48y)$ .
Distribute the negative signs:
$= 12x - 24x - 35y - 93x + 48y$ .
Step 2: Combine like terms:
For $x$ -terms: Combine $12x - 24x - 93x$ :
$12x - 24x = -12x$
$-12x - 93x = -105x$ .
For $y$ -terms: Combine $-35y + 48y$ :
$-35y + 48y = 13y$ .
Step 3: Put the combined terms together:
Therefore, the simplified expression is $13y - 105x$ .

The solution to the expression is $13y - 105x$ .

$13y-105x$