Here we will try to solve an equation involving a variable ( x ) given as follows:
[tex]\frac{3}{2}\text{ + }\frac{1}{2}\cdot x\text{ = 2x}[/tex]We use the following basic mathematical operations when solving any equation:
[tex]\text{Multiplication, Division, Addition, Subtraction}[/tex]We will first try to isolate our vairable ( x ) on either side of the " = " sign. We will try to isolate ( x ) on the right hand side of " = " sign. To do this we will employ the mathematical operation of " Subtraction ".
We will subtract ( 1 / 2 x ) from both sides of " = " sign:
[tex]\begin{gathered} \frac{3}{2}\text{ + }\frac{1}{2}\cdot x\text{ - }\frac{1}{2}\cdot x\text{ = 2x - }\frac{1}{2}\cdot x \\ \\ \frac{3}{2}\text{ = x}\cdot\text{ (}\frac{4\text{ - 1}}{2}) \\ \\ \frac{3}{2}\text{ = }\frac{3}{2}\cdot x \end{gathered}[/tex]The next mathematical operation we will apply is " Division ". We will divide the left hand side of the equation with right hand side constant as follows:
[tex]\begin{gathered} x\text{ = }\frac{\frac{3}{2}}{\frac{3}{2}} \\ \\ \textcolor{#FF7968}{x}\text{\textcolor{#FF7968}{ = 1}} \end{gathered}[/tex]The solution to the given equation is as follows:
[tex]\textcolor{#FF7968}{x}\text{\textcolor{#FF7968}{ = 1 }}[/tex]
