Compare Expressions: Is 15x-30 Equal to 45-15-5x+15x?

To solve this problem, we'll follow these steps:

• Step 1: Simplify each given expression.
• Step 2: Compare the simplified expressions to determine if they are equivalent.

Now, let's work through each step:

Step 1: Simplify the expressions

First expression: $15x - 30$

• The expression is already simplified as it includes one variable term $15x$ and one constant term $-30$.

Second expression: $45 - 15 - 5x + 15x$

• Combine the constants: $45 - 15 = 30$.
• Combine the variable terms: $-5x + 15x = 10x$.
• The simplified form of the second expression is: $10x + 30$.

Step 2: Compare the simplified expressions

After simplification:

The first expression is $15x - 30$.

The second expression is $10x + 30$.

Clearly, these simplified expressions are not the same.

Therefore, the solution to the problem is No.