Question

write the other side of this equation so that it is true for all values of x.\
\\(\frac{1}{2}(6x - 10) - x = \underline{\quad}\\)

Explanation:

Step1: Distribute the fraction

We distribute $\frac{1}{2}$ to the terms inside the parentheses: $\frac{1}{2}(6x - 10)=\frac{1}{2}\times6x-\frac{1}{2}\times10 = 3x - 5$.

Step2: Combine like terms

Now we have the expression $3x - 5 - x$. Combine the $x$ terms: $3x - x - 5 = 2x - 5$.

Answer:

$2x - 5$