6(3x - 5) + 2(3x - 5) - 8(2x - 5)

Answer 1

To simplify the expression 6(3x - 5) + 2(3x - 5) - 8(2x - 5), we apply the distributive property.

6(3x - 5) can be expanded as 6 * 3x - 6 * 5, which simplifies to 18x - 30.

2(3x - 5) can be expanded as 2 * 3x - 2 * 5, which simplifies to 6x - 10.

-8(2x - 5) can be expanded as -8 * 2x + -8 * -5. This simplifies to -16x + 40.

Now we substitute the expanded expressions back into the original expression:

18x - 30 + 6x - 10 - 16x + 40

Next, we combine like terms:

18x + 6x - 16x - 30 - 10 + 40

Now we simplify the expression:

(18x + 6x - 16x) + (-30 - 10 + 40)

8x + 0

Finally, we simplify the expression to:

8x