9x - 4 + 4x + 5x + 19
which expression is equivalent to Jackson expression
3 answers
To simplify the expression \( 9x - 4 + 4x + 5x + 19 \), we can combine like terms.
First, let's combine all the \(x\) terms: \[ 9x + 4x + 5x = (9 + 4 + 5)x = 18x \]
Next, let's combine the constant terms: \[ -4 + 19 = 15 \]
Putting it all together, we get: \[ 18x + 15 \]
So, the expression equivalent to Jackson's expression is: \[ \boxed{18x + 15} \]
Let's simplify each of the provided answer choices to see which one is equivalent to \( 18x + 15 \).
\( 3(6x + 5) \): \[ 3(6x + 5) = 3 \cdot 6x + 3 \cdot 5 = 18x + 15 \] This is equivalent to \( 18x + 15 \).
\( 18x + 23 \): \[ This is not equivalent to 18x + 15. \]
\( 5(x + 2) \): \[ 5(x + 2) = 5x + 10 \] This is not equivalent to \( 18x + 15 \).
\( 14x + 19 \): \[ This is not equivalent to 18x + 15. \]
The only expression that is equivalent to \( 18x + 15 \) is \( 3(6x + 5) \).
Therefore, the correct answer is: \[ \boxed{3(6x + 5)} \]
