Question

Which one of the following is a valid way to rewrite the expression 3(x-4)-(x+2) ? Submit answer Exit 2x-10

Answer 1

To rewrite the expression 3(x-4)-(x+2), distribute the 3 and the -1, then combine like terms to simplify. The valid way to rewrite the expression is 2x - 10.

Step-by-step explanation:

To rewrite the expression 3(x-4)-(x+2), we need to simplify the given expression by applying the distributive property and combining like terms:

1. Distribute the 3 to both terms inside the parentheses: 3(x) - 3(4) = 3x - 12
2. Distribute the -1 to both terms inside the parentheses: -1(x) - (-1)(2) = -x - (-2) = -x + 2
3. Combine the like terms: 3x - 12 - x + 2 = 2x - 10

Therefore, the valid way to rewrite the expression is 2x - 10.