What is (2x+5y)-(3x+3y) ?

The solution to (2x+5y)-(3x+3y) is -x+2y

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simplify (2x+5y)-(3x+3y)

simplify

(2 x + 5 y) - (3 x + 3 y)

- x + 2 y

Solution steps

(2 x + 5 y) - (3 x + 3 y)

Apply rule:

(a) = a

(2 x + 5 y) = 2 x + 5 y

= 2 x + 5 y - (3 x + 3 y)

Apply the distributive law:

- (a + b) = - a - b

- (3 x + 3 y) = - 3 x - 3 y

= 2 x + 5 y - 3 x - 3 y

Group like terms

= 2 x - 3 x + 5 y - 3 y

Add similar elements:

2 x - 3 x = - x

= - x + 5 y - 3 y

Add similar elements:

5 y - 3 y = 2 y

= - x + 2 y

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