Solve and check your solution. $$ 7 x-6=-62 $$ $$ x=\square $$ (Simplify your answer.)

Question

UpStudy AI · Accepted Answer

To solve the equation:

$$
7x - 6 = -62
$$

**Step 1:** Add 6 to both sides to isolate the term with $$ x $$.

$$
7x - 6 + 6 = -62 + 6
$$
$$
7x = -56
$$

**Step 2:** Divide both sides by 7 to solve for $$ x $$.

$$
x = \frac{-56}{7}
$$
$$
x = -8
$$

So,

$$
x = -8
$$

**Check the Solution:**

Substitute $$ x = -8 $$ back into the original equation to verify:

$$
7(-8) - 6 = -56 - 6 = -62
$$

Since both sides of the equation are equal, the solution $$ x = -8 $$ is correct.
$$ x = -8 $$

Solve and check your solution. \[ 7 x-6=-62 \] \( x=\square \) (Simplify your answer.)