Question

5x-2=10x+3 how would I solve?

Answer 1

Given the equation:

$5x-2=10x+3$

You can follow these steps in order to solve for "x":

1. Apply the Subtraction Property of Equality by subtracting 3 from both sides of the equation:

$\begin{gathered} 5x-2-(3)=10x+3-(3) \\ 5x-5=10x \end{gathered}$

2. Apply the same property by subtracting this term from both sides of the equation:

$5x$

Then:

$\begin{gathered} 5x-5-(5x)=10x-(5x) \\ -5=5x \end{gathered}$

3. Finally, apply the Division Property of Equality by dividing both sides of the equation by 5:

$\begin{gathered} \frac{-5}{5}=\frac{5x}{5} \\ \\ -1=x \\ x=-1 \end{gathered}$

Therefore, the answer is:

$x=-1$