Question

Simplify the following equation.

$2\left(5x+4y\right)-3\left(x+8y\right)$

Short answer

The simplification of the equation is $7x-16y$.

Step-by-step solution

Step 1- Simplify the expression.

Consider the equation $2\left(5x+4y\right)-3\left(x+8y\right)$.

Step 2- Step description.

Simplify the equation as follows:

$\begin{array}{l}2\left(5x+4y\right)-3\left(x+8y\right)\\ 10x+8y-3x-24y\\ 10x-3x+8y-24y\\ 7x-16y\end{array}$

Step 3- Step description.

Since there is nothing common in both the terms in the obtained equation therefore the equation will remain as it is.

Therefore, simplification of the equation is $7x-16y$.