63.9k views
1 vote
What expression is equivalent to: 3x-4(y+3)-10+8x?

User Dh YB
by
5.3k points

1 Answer

2 votes

Answer:

-4 y + 11 x + -22

Explanation:

Simplify the following:

3 x - 4 (y + 3) - 10 + 8 x

Hint: | Group like terms in 3 x - 4 (y + 3) - 10 + 8 x.

Grouping like terms, 3 x - 4 (y + 3) - 10 + 8 x = -4 (y + 3) + (3 x + 8 x) - 10:

-4 (y + 3) + (3 x + 8 x) - 10

Hint: | Add like terms in 3 x + 8 x.

3 x + 8 x = 11 x:

-4 (y + 3) + 11 x - 10

Hint: | Distribute -4 over y + 3.

-4 (y + 3) = -4 y - 12:

-4 y - 12 + 11 x - 10

Hint: | Group like terms in -4 y + 11 x - 12 - 10.

Grouping like terms, -4 y + 11 x - 12 - 10 = -4 y + 11 x + (-12 - 10):

-4 y + 11 x + (-12 - 10)

Hint: | Evaluate -12 - 10.

-12 - 10 = -22:

Answer: -4 y + 11 x + -22

User Chgad
by
5.9k points