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:

$\begin{gathered} \frac{5x}{5}=\frac{25}{5} \\ \\ x=5 \end{gathered}$

Therefore, the answer is:

$x=5$