simplifying using distributive property
2x+3y+2(x-y)-3x
To simplify the given expression using the distributive property, we need to distribute the coefficients or terms outside the parentheses to the terms inside the parentheses.
Let's break down the expression step by step:
Step 1: Start by distributing the coefficient 2 to the terms inside the parentheses.
2 * x = 2x
2 * (-y) = -2y
Step 2: Now distribute -3 to the terms inside the parentheses.
-3 * x = -3x
-3 * (-y) = 3y
After distributing, the expression becomes:
2x + 3y + 2x - 2y - 3x
Step 3: Combine like terms.
(2x + 2x - 3x) + (3y - 2y)
Combine the x terms together:
2x + 2x - 3x = 4x - 3x = x
Combine the y terms together:
3y - 2y = y
Step 4: Simplify the expression further.
x + y - 3x
Combine the x terms:
x - 3x = -2x
The simplified expression is:
-2x + y