Question

What's the answer to the problem 3x-2=10

Answer 1

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:

`3x\text{ - 2 = 10}`

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:

`\begin{gathered} 3x\text{ - 2 + 2 = 10 + 2} \\ 3x\text{ = 12} \end{gathered}`

We will then divide both sides of the " = " sign by ( 3 ) to isolate our variable:

`\begin{gathered} (3x)/(3)\text{ = }(12)/(3) \\ \\ \text{ x =4} \end{gathered}`

Therefore, we have evaluated the value of variable ( x ) for which the equation is satisfied:

`x=\text{ 4 }\ldots\text{ Answer}`