Question

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

Explanation:

Step1: Distribute the fraction

Multiply $\frac{1}{2}$ with each term inside the parentheses: $\frac{1}{2}(6x - 10)=\frac{1}{2}\times6x-\frac{1}{2}\times10 = 3x - 5$

Step2: Subtract x from the result

Now subtract $x$ from $3x - 5$: $(3x - 5)-x = 3x - x - 5 = 2x - 5$

Answer:

$2x - 5$