Solve and check your solution. $$ 8 x-7=33 $$ $$ x=\square $$ (Type an integer or a simplified fraction.)

Question

UpStudy AI · Accepted Answer

Certainly! Let's solve the equation step by step and then verify the solution.

**Given Equation:**
$$ 8x - 7 = 33 $$

**Step 1: Add 7 to both sides**
$$
8x - 7 + 7 = 33 + 7
$$
$$
8x = 40
$$

**Step 2: Divide both sides by 8**
$$
\frac{8x}{8} = \frac{40}{8}
$$
$$
x = 5
$$

**Solution:**
$$
x = 5
$$

**Checking the Solution:**

Substitute $$ x = 5 $$ back into the original equation to verify:

$$
8(5) - 7 = 40 - 7 = 33
$$

Since the left side equals the right side ($$ 33 = 33 $$), the solution $$ x = 5 $$ is correct.
$$ x = 5 $$

Solve and check your solution. \[ 8 x-7=33 \] \( x=\square \) (Type an integer or a simplified fraction.)