We will investigate how to solve single variable equations.
A single variable equations is an expression that contains a designated variable like ( x ) that is related to specific phenomenon which is mathematically translated to an algebraic expression. E.g:
[tex]3x\text{ - 2 = 10}[/tex]Solving the equation means to determine the value of ( x ) for which the given equation is satisfied.
We will use a sequence of algebraic operators/manipulation to isolate the variable ( x ) on one side of the " = " sign.
We will add ( 2 ) on both sides of the " = " sign in the given equation:
[tex]\begin{gathered} 3x\text{ - 2 + 2 = 10 + 2} \\ 3x\text{ = 12} \end{gathered}[/tex]We will then divide both sides of the " = " sign by ( 3 ) to isolate our variable:
[tex]\begin{gathered} \frac{3x}{3}\text{ = }\frac{12}{3} \\ \\ \text{ x =4} \end{gathered}[/tex]Therefore, we have evaluated the value of variable ( x ) for which the equation is satisfied:
[tex]x=\text{ 4 }\ldots\text{ Answer}[/tex]