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

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

Simplify each term.

Apply the distributive property.

$2 (2 a) + 2 \cdot - 5 - (a - 3)$

Multiply $2$ by $2$ .

$4 a + 2 \cdot - 5 - (a - 3)$

Multiply $2$ by $- 5$ .

$4 a - 10 - (a - 3)$

Apply the distributive property.

$4 a - 10 - a - - 3$

Multiply $- 1$ by $- 3$ .

$4 a - 10 - a + 3$

$4 a - 10 - a + 3$

Simplify by adding terms.

Subtract $a$ from $4 a$ .

$3 a - 10 + 3$

Add $- 10$ and $3$ .

$3 a - 7$

$3 a - 7$

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