what is 3(x)-6(x)
show work please
3(x)-6(x) = -3x
To simplify the expression 3(x) - 6(x), you need to apply the distributive property of multiplication over addition/subtraction. Here are the steps:
1. Start with the expression: 3(x) - 6(x)
2. Multiply 3 by x: 3 * x = 3x
3. Multiply 6 by x: 6 * x = 6x
4. Now, the expression becomes: 3x - 6x
5. To combine like terms, subtract 6x from 3x: 3x - 6x = -3x
So, the simplified expression is -3x.
To simplify the expression 3(x) - 6(x), we can use the distributive property. Let's break down the steps:
1. Start with the expression: 3(x) - 6(x).
2. Apply the distributive property by multiplying each term inside the parentheses by the number outside of the parentheses:
3(x) becomes 3 * x = 3x,
6(x) becomes 6 * x = 6x.
3. Rewrite the expression using the results of the multiplication: 3x - 6x.
4. Combine the like terms by subtracting the coefficients of the similar terms:
3x - 6x = (3 - 6)x.
5. Perform the subtraction: (3 - 6) = -3.
6. Rewrite the expression in its simplified form: -3x.
Therefore, 3(x) - 6(x) simplifies to -3x.