Question

expressions-polynomials-linear expressions
(1 point)
simplify:
$5(3x + 4) - (5x - 9) = \square$
preview my answers submit answers
you have attempted this problem 0 times.
you have unlimited attempts remaining.
ask for help

Explanation:

Step1: Distribute the 5

First, we distribute the 5 in \(5(3x + 4)\). Using the distributive property \(a(b + c)=ab + ac\), we get:
\(5\times3x + 5\times4 = 15x + 20\)

Step2: Distribute the negative sign

Next, we distribute the negative sign in \(-(5x - 9)\). This is equivalent to multiplying each term inside the parentheses by -1:
\(-1\times5x - (-1)\times9 = -5x + 9\)

Step3: Combine like terms

Now we combine the results from Step 1 and Step 2:
\((15x + 20)+(-5x + 9)\)
Combine the \(x\)-terms: \(15x - 5x = 10x\)
Combine the constant terms: \(20 + 9 = 29\)
So the simplified expression is \(10x + 29\)

Answer:

\(10x + 29\)