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} (-5)/(5)=(5x)/(5) \\ \\ -1=x \\ x=-1 \end{gathered}`

Therefore, the answer is:

`x=-1`