Question

solve the following equation for x. express your answer in the simplest form. 5(-4x + 5)=4(-5x + 6)

Explanation:

Step1: Expand both sides

\[

$$\begin{align*} 5(-4x + 5)&=4(-5x + 6)\\ -20x+25&=-20x + 24 \end{align*}$$

\]

Step2: Add \(20x\) to both sides

\[

$$\begin{align*} -20x + 20x+25&=-20x+20x + 24\\ 25&=24 \end{align*}$$

\]
Since \(25
eq24\), this is a contradiction.

Answer:

No solution