Question

100 points!!!

Multi-Step Equations with Distributive Property

Answer 1

x= -2

Explanation:

An example could be

10 ( x+2) + 3(x+4) = 6(x+3)

Distribute

10x+20 +3x+12 = 6x+18

Combine like terms

13x +32 = 6x+18

Subtract 6x from each side

13x-6x +32 = 6x-6x+18

7x +32 = 18

Subtract 32 from each side

7x +32-32 = 18-32

7x =-14

Divide by 7

7x/7 = -14/7

x = -2

Answer 2

An example below

Explanation:

5(4a + 7(a + 2b))

First simply the inside bracket using distributive property:

7(a + 2b)

7(a) + 7(2b)

7a + 14b

5(4a + 7a + 14b)

5(11a + 14b)

Use distributive property again

5(11a) + 5(14b)

55a + 70b