which expression is the sum of 3(4x-5) and 4(x+2)?

Question

A. 24x-3
B. 16x-7
C. 48x-3
D.16x-15
E.24x-13

Answer 1

To find the sum of the expressions \(3(4x-5)\) and \(4(x+2)\), we start by distributing in each expression.

1. Distributing \(3\) in \(3(4x-5)\): \[ 3(4x) - 3(5) = 12x - 15 \]

2. Distributing \(4\) in \(4(x+2)\): \[ 4(x) + 4(2) = 4x + 8 \]

Now we add the two results together: \[ (12x - 15) + (4x + 8) \]

Combining like terms:

• For \(x\) terms: \[ 12x + 4x = 16x \]

• For constant terms: \[ -15 + 8 = -7 \]

Putting it all together, we have: \[ 16x - 7 \]

Thus, the answer is: \[ \text{B. } 16x - 7 \]