Question

Solve for x2x - 7 = -3x + 18

Answer 1

Given the following equation:

`2x-7=-3x+18`

You can solve it as follows:

1. Apply the Addition Property of Equality by adding this term to both sides of the equation:

`3x`

Then:

`\begin{gathered} 2x-7+(3x)=-3x+18+(3x) \\ 5x-7=18 \end{gathered}`

2. Apply the same property. Add 7 to both sides of the equation:

`\begin{gathered} 5x-7+(7)=18+(7) \\ 5x=25 \end{gathered}`

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

`\begin{gathered} (5x)/(5)=(25)/(5) \\ \\ x=5 \end{gathered}`

Therefore, the answer is:

`x=5`