Solve for $$ x $$ : $$ -5.5=-(0.5 x+7.2)+x $$

Question

UpStudy AI · Accepted Answer

To solve the equation for $$ x $$:

$$
-5.5 = -\left(0.5x + 7.2\right) + x
$$

Let's follow the steps methodically.

### Step 1: Distribute the Negative Sign

First, distribute the negative sign on the right-hand side of the equation:

$$
-5.5 = -0.5x - 7.2 + x
$$

### Step 2: Combine Like Terms

Combine the $$ x $$ terms on the right-hand side:

$$
-5.5 = (-0.5x + x) - 7.2
$$
$$
-5.5 = 0.5x - 7.2
$$

### Step 3: Isolate the $$ x $$ Term

Add $$ 7.2 $$ to both sides of the equation to move the constant term to the left-hand side:

$$
-5.5 + 7.2 = 0.5x
$$
$$
1.7 = 0.5x
$$

### Step 4: Solve for $$ x $$

Divide both sides by $$ 0.5 $$ to solve for $$ x $$:

$$
x = \frac{1.7}{0.5}
$$
$$
x = 3.4
$$

### Conclusion

The solution to the equation is:

$$
x = 3.4
$$
$$ x = 3.4 $$

Solve for \( x \) : \[ -5.5=-(0.5 x+7.2)+x \]