Question

Simplify the expression completely.

3(x−8y)−2(5x−4y)

Answer 1

To simplify the expression \( 3(x - 8y) - 2(5x - 4y) \), start by distributing the constants outside the parentheses:

1. Distribute \( 3 \) into \( (x - 8y) \):
\[
3(x - 8y) = 3x - 24y
\]

2. Distribute \( -2 \) into \( (5x - 4y) \):
\[
-2(5x - 4y) = -10x + 8y
\]

Now, substitute back into the expression:
\[
3x - 24y - 10x + 8y
\]

Next, combine like terms. For the \( x \) terms:
\[
3x - 10x = -7x
\]

For the \( y \) terms:
\[
-24y + 8y = -16y
\]

Thus, putting it all together:
\[
-7x - 16y
\]

Therefore, the simplified expression is:
\[
\boxed{-7x - 16y}
\]