Simplify (-2)(4-2a+3x)-(-5)(-9+5a-x)

$(- 2) (4 - 2 a + 3 x) - (- 5) (- 9 + 5 a - x)$

Step 1

Simplify each term.

Apply the distributive property.

$- 2 \cdot 4 - 2 (- 2 a) - 2 (3 x) + 5 (- 9 + 5 a - x)$

Simplify.

Multiply $- 2$ by $4$ .

$- 8 - 2 (- 2 a) - 2 (3 x) + 5 (- 9 + 5 a - x)$

Multiply $- 2$ by $- 2$ .

$- 8 + 4 a - 2 (3 x) + 5 (- 9 + 5 a - x)$

Multiply $3$ by $- 2$ .

$- 8 + 4 a - 6 x + 5 (- 9 + 5 a - x)$

Apply the distributive property.

$- 8 + 4 a - 6 x + 5 \cdot - 9 + 5 (5 a) + 5 (- x)$

Simplify.

Multiply $5$ by $- 9$ .

$- 8 + 4 a - 6 x - 45 + 5 (5 a) + 5 (- x)$

Multiply $5$ by $5$ .

$- 8 + 4 a - 6 x - 45 + 25 a + 5 (- x)$

Multiply $- 1$ by $5$ .

$- 8 + 4 a - 6 x - 45 + 25 a - 5 x$

Step 2

Simplify by adding terms.

Subtract $45$ from $- 8$ .

$4 a - 6 x - 53 + 25 a - 5 x$

Add $4 a$ and $25 a$ .

$29 a - 6 x - 53 - 5 x$

Subtract $5 x$ from $- 6 x$ .

$29 a - 11 x - 53$