Solve: $$ \frac{3 m+8}{8}=\frac{m-1}{3} $$

Question

UpStudy AI · Accepted Answer

1. Multiply both sides of the equation by the least common multiple of 8 and 3, which is 24:

$$
24 \cdot \frac{3m + 8}{8} = 24 \cdot \frac{m - 1}{3}
$$

2. Simplify both sides:

$$
3 \cdot (3m + 8) = 8 \cdot (m - 1)
$$

3. Expand both sides:

$$
9m + 24 = 8m - 8
$$

4. Isolate the variable $$ m $$ by subtracting $$ 8m $$ from both sides:

$$
9m - 8m + 24 = -8
$$

$$
m + 24 = -8
$$

5. Solve for $$ m $$ by subtracting 24 from both sides:

$$
m = -8 - 24
$$

$$
m = -32
$$
$$ m = -32 $$

Solve: \( \frac{3 m+8}{8}=\frac{m-1}{3} \)