Let's break this down step by step.

The given equation is:

$(-3)^2 \times 3 - 2 \times (-3)^2 \times 2 = 5 \times (-3) - 7$

Step 1: Simplify both sides.

Left-hand side (LHS):

$(-3)^2 = 9$ So, substitute this into the equation:

$9 \times 3 - 2 \times 9 \times 2$

Simplify:

$27 - 36 = -9$

Right-hand side (RHS):

$5 \times (-3) - 7$

Simplify:

$-15 - 7 = -22$

Step 2: Compare both sides.

The equation becomes:

$-9 = -22$

This is not true, so the equation does not hold.

Final Answer:

The equation is false.

Would you like further details or have any questions?

Here are some related questions:

1. What are the general rules for solving quadratic equations?
2. How do you simplify expressions with negative numbers?
3. How do you handle operations with parentheses in math?
4. What does squaring a negative number result in?
5. What is the difference between evaluating an equation and simplifying an expression?

Tip: Always apply the order of operations (PEMDAS) to avoid mistakes in multi-step equations!