What is (10x-2y)-(-3x+2y) ?

The solution to (10x-2y)-(-3x+2y) is 13x-4y

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simplify (10x-2y)-(-3x+2y)

simplify

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

13 x - 4 y

Solution steps

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

Apply rule:

(a) = a

(10 x - 2 y) = 10 x - 2 y

= 10 x - 2 y - (- 3 x + 2 y)

Apply the distributive law:

- (- a + b) = a - b

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

= 10 x - 2 y + 3 x - 2 y

Group like terms

= 10 x + 3 x - 2 y - 2 y

Add similar elements:

10 x + 3 x = 13 x

= 13 x - 2 y - 2 y

Add similar elements:

- 2 y - 2 y = - 4 y

= 13 x - 4 y

(x^{2} + 6) + (1 - x)

(- 5) (- 5) (- 5)

(5 x^{2})^{4}

- \frac{7}{4} - \frac{1}{2 x}

\frac{16 a ^{- 5}}{2 ( b ^{2} ) ^{0}}