What is 2(2a-5)-(a-3) ?

The solution to 2(2a-5)-(a-3) is 3a-7

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simplify 2(2a-5)-(a-3)

simplify

2 (2 a - 5) - (a - 3)

3 a - 7

Solution steps

2 (2 a - 5) - (a - 3)

Apply the distributive law:

- (a - b) = - a + b

- (a - 3) = - a + 3

= 2 (2 a - 5) - a + 3

Expand

2 (2 a - 5) : 4 a - 10

= 4 a - 10 - a + 3

Group like terms

= 4 a - a - 10 + 3

Add similar elements:

4 a - a = 3 a

= 3 a - 10 + 3

Add the numbers:

- 10 + 3 = - 7

= 3 a - 7

(x)^{2} (x^{5})^{4} (x^{2})^{3}

(3 x + 5 x^{2} - 1) + (13 - 20 x + x^{2})

- \frac{5}{6} - \frac{7}{9}

4 (5 + x)

\frac{2 x}{- 2}