What is (-2)(4-2a+3x)-(-5)(-9+5a-x) ?

The solution to (-2)(4-2a+3x)-(-5)(-9+5a-x) is -11x+29a-53

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

simplify

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

- 11 x + 29 a - 53

Solution steps

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

(- 2) (4 - 2 a + 3 x) = - 2 (4 - 2 a + 3 x)

(- 5) (- 9 + 5 a - x) = - 5 (- 9 + 5 a - x)

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

Apply rule:

a - (- b) = a + b

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

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

Expand

- 2 (4 - 2 a + 3 x) : - 8 + 4 a - 6 x

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

Expand

5 (- 9 + 5 a - x) : - 45 + 25 a - 5 x

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

Group like terms

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

Add similar elements:

- 6 x - 5 x = - 11 x

= - 11 x + 4 a + 25 a - 8 - 45

Add similar elements:

4 a + 25 a = 29 a

= - 11 x + 29 a - 8 - 45

Subtract the numbers:

- 8 - 45 = - 53

= - 11 x + 29 a - 53

f (y)

- 1 \frac{2}{3}

(2 - 3 x)^{5}

\frac{1}{12} + \frac{1}{12}

\frac{( - 256 x ^{5} y ^{4} )}{( - 16 x ^{8} y ^{9} )}

What is (-2)(4-2a+3x)-(-5)(-9+5a-x) ?
The solution to (-2)(4-2a+3x)-(-5)(-9+5a-x) is -11x+29a-53