Question

Write the following expression in simplest form. (-(3)/(5)x-7)-(-12+(3)/(10)x)

Answer 1

To write the expression in simplest form, we need to simplify the terms inside the parentheses first. The expression (-(3)/(5)x-7)-(-12+(3)/(10)x) simplifies to 5 + (9/10)x.

Step-by-step explanation:

To write the expression (-(3)/(5)x-7)-(-12+(3)/(10)x) in simplest form, we need to simplify the terms inside the parentheses first. Let's break it down step-by-step:

-3/5 is multiplied by x and then subtracted from -7, which can be rewritten as -7 - (3/5)x.

-12 is added to (3/10)x, which can be written as -12 + (3/10)x.

Now, we have (-7 - (3/5)x) - (-12 + (3/10)x).

To subtract the second set of parentheses, distribute the negative sign to each term inside: (-7 - (3/5)x) + (12 - (3/10)x).

Combine like terms: -7 + 12 = 5 and (3/5)x + (3/10)x = (6/10)x + (3/10)x = (9/10)x.

So, the expression simplifies to 5 + (9/10)x.

Answer 2

The simplest form of the expression (-(3)/(5)x-7)-(-12+(3)/(10)x) is (-(3)/(5)x + 5), which is achieved by distributing the negative sign and combining like terms.

Step-by-step explanation:

To simplify the expression (-(3)/(5)x-7)-(-12+(3)/(10)x), we combine like terms and simplify:

First, distribute the negative sign through the second set of parentheses: -(3)/(5)x - 7 + 12 - (3)/(10)x.

Next, combine the x terms: -(3)/(5)x - (3)/(10)x. Since (3)/(10) is half of (3)/(5), this simplifies to -(6)/(10)x or -(3)/(5)x.

Lastly, combine the constant terms: -7 + 12, which equals 5.

Putting it all together, we get (-(3)/(5)x + 5) as the simplest form of the given expression.