Solve for $$ x $$ : $$ -11 x-10=-6 x-55 $$

Question

UpStudy AI · Accepted Answer

To solve the equation:

$$
-11x - 10 = -6x - 55
$$

**Step 1: Move all $$ x $$-terms to one side and constants to the other side.**

Add $$ 11x $$ to both sides to eliminate $$ -11x $$ from the left:

$$
-11x - 10 + 11x = -6x - 55 + 11x
$$
$$
-10 = 5x - 55
$$

**Step 2: Move the constant term to the other side.**

Add $$ 55 $$ to both sides to eliminate $$ -55 $$ from the right:

$$
-10 + 55 = 5x - 55 + 55
$$
$$
45 = 5x
$$

**Step 3: Solve for $$ x $$.**

Divide both sides by $$ 5 $$:

$$
x = \frac{45}{5}
$$
$$
x = 9
$$

**Answer:** $$ x = 9 $$
$$ x = 9 $$

Solve for \( x \) : \[ -11 x-10=-6 x-55 \]