Final answer:
To find the value of (-1/2x + 7/10) - (-3/4x - 1/5), distribute the negative sign and combine like terms to get the simplified expression 1/4x + 4/5.
Step-by-step explanation:
To find the value of (-1/2x + 7/10) - (-3/4x - 1/5), we need to simplify the expression by combining like terms.
To do this, we will distribute the negative sign in front of the second set of parentheses, and then combine the terms with the same variables.
First, let's distribute the negative sign: (-1/2x + 7/10) - (-3/4x - 1/5)
= -1/2x + 7/10 + 3/4x + 1/5
= (-1/2x + 3/4x) + (7/10 + 1/5)
Next, let's combine the terms: (-1/2x + 3/4x) + (7/10 + 1/5)
= (4/4x - 3/4x) + (14/20 + 2/20)
= 1/4x + 16/20
= 1/4x + 4/5