Question

Simplify 5w - 6(5x - 3w) + 3x.

Answer 1

23w — 27x

Step-by-step explanation:

Let's simplify the expression step by step:

5w — 6(5c — 3w) -F 3c

first, distribute the -6 through the parentheses:

5w — 30m + 18w + 3c

Combine like terms:

(5w -F 18w) + (—30c + 3a•)

23W — 27x

So, the simplified expression is 23w — 27x

Answer 2

To simplify the expression 5w - 6(5x - 3w) + 3x, distribute the -6 inside the parenthesis, combine like terms, and the simplified form is 23w - 27x.

Step-by-step explanation:

To simplify the algebraic expression 5w - 6(5x - 3w) + 3x, we need to distribute the multiplication over the subtraction inside the parenthesis and then combine like terms.

1. Distribute the -6 to the terms inside the parenthesis: 5w - 6 × 5x + 6 × 3w + 3x.
2. This gives us 5w - 30x + 18w + 3x.
3. Next, combine like terms (the terms with the same variable): (5w + 18w) + (-30x + 3x).
4. This simplifies to 23w - 27x. So the final answer is 23w - 27x. Always remember to eliminate terms wherever possible and check the answer to see if it is reasonable.