What is the result of simplifying the expression \( 5(2x + 3) - 4(x - 1) \)?

To simplify the expression ( 5(2x + 3) - 4(x - 1) ), you start by distributing the numbers outside the parentheses into the terms inside them.

First, distribute the 5: [

5(2x + 3) = 10x + 15 ]

Next, distribute the -4: [ -4(x - 1) = -4x + 4 ]

Now, combine these results: [ 10x + 15 - 4x + 4 ]

Next, combine like terms. Start with the x terms: [ 10x - 4x = 6x ]

Now combine the constant terms: [ 15 + 4 = 19 ]

Putting it all together, you have: [ 6x + 19 ]

This shows that the simplified expression is ( 6x + 19 ), which indicates that the correct answer is indeed C. Understanding how to distribute and combine like terms is essential in simplifying algebraic expressions effectively.