Question

simplify expression

$6(3x-4)-(-5)$using the distributive property

Short answer

The simplified form of the given expression is$18x-19$

Step-by-step solution

Step1:Given information

Given expression is $6(3x-4)-(-5)$.

By using the distributive property simplify the parenthesis first.

Step 2:Decription of distributive property

Distributive property: if a, b, c are real numbers then$$\begin{gathered} a(b+c)=ab+ac \\ a(b-c)=ab-ac \end{gathered}$$

Step 3:Simplifying the expression

By using the distributive property we can write

$$\begin{gathered} 6(3x-4)=6\times 3x-6\times 4 \\ =18x-24 \end{gathered}$$

Then expression becomes$$\begin{gathered} 6(3x-4)-(-5)=18x-24+5\sin ce-(-)=+ \\ =18x-19 \end{gathered}$$