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

Question

UpStudy AI · Accepted Answer

To make the equation true for all values of $$ x $$, let's simplify the left side and express it in an equivalent form.

Given:
$$
\frac{1}{2}(6x - 10) - x
$$

**Step 1: Distribute the $$\frac{1}{2}$$**
$$
\frac{1}{2} \times 6x - \frac{1}{2} \times 10 - x = 3x - 5 - x
$$

**Step 2: Combine like terms**
$$
3x - x - 5 = 2x - 5
$$

**Final Equation:**
$$
\frac{1}{2}(6x - 10) - x = 2x - 5
$$

So, the other side of the equation that makes it true for all $$ x $$ is:

$$
2x - 5
$$
The other side of the equation is $$ 2x - 5 $$.

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