Math Snap

STEP 1

1. We are given the equation $6x = 20$.
2. We need to determine which of the provided equations are not equivalent to the given equation.

STEP 2

1. Understand the meaning of equivalent equations.
2. Analyze each option to determine if it is equivalent to $6x = 20$.
3. Identify which equations are not equivalent.

STEP 3

Equivalent equations have the same solution set. Therefore, any manipulation of $6x = 20$ should maintain the equality.

STEP 4

Analyze option (A): $6x \div 6 = 20 \div 6$.
Dividing both sides of $6x = 20$ by 6 results in $x = \frac{20}{6}$, which is equivalent.

STEP 5

Analyze option (B): $6x \div 6 = 20 \div 20$.
Dividing both sides of $6x = 20$ by different numbers results in $x = 1$, which is not equivalent.

STEP 6

Analyze option (C): $6x + 5 = 20 + 5$.
Adding 5 to both sides results in $6x + 5 = 25$, which is equivalent.

STEP 7

Analyze option (D): $6x - 1 = 20 - 1$.
Subtracting 1 from both sides results in $6x - 1 = 19$, which is equivalent.

STEP 8

Analyze option (E): $6x \times 6 = 20 \times 20$.
Multiplying both sides by different numbers results in $36x = 400$, which is not equivalent.

The equations that are not equivalent to $6x = 20$ are options (B) and (E).
The non-equivalent equations are:
$$\boxed{B, E}$$