Question

How do you solve \[\dfrac{3}{5}x = 12\] ?

Answer 1

Hint: To solve this equation, the following steps provide a good method to use when solving
linear equations. Simplify each side of the equation by removing separate variables.

Complete step-by-step solution:
The given equation is a linear equation with one unknown.
\[ \Rightarrow \dfrac{3}{5}x = 12\]
Now by multiplying both the sides by $5$, we will get
$ \Rightarrow 5 \times \dfrac{3}{5}x = 12 \times 5$
When we solve this above equation where $5$ in the left side will get cancel each other and multiply both
terms in the right side respectively.
Therefore, we get
$ \Rightarrow 3x = 60$
Now in order to get or to find the value of $x$, Bring the number $3$ to the right hand side
So we will get,
$ \Rightarrow x = \dfrac{{60}}{3}$
Further simplifying the fraction we get,
$ \Rightarrow x = 20$

Therefore the value of x is equal to 20.

Note: In the case of solving equations, there are various types of methods used for solving the equations. They are
$1)$ SOLVING EQUATIONS USING ADDITION AND SUBTRACTION PROPERTIES
If the same quantity is added to or subtracted from both members of an equation, the resulting
equation is equivalent to the original equation.
$2)$ SOLVING EQUATIONS USING THE DIVISION PROPERTY
If both members of an equation are divided by the same (nonzero) quantity, the resulting equation is
equivalent to the original equation.
$3)$ SOLVING EQUATIONS USING THE MULTIPLICATION PROPERTY
If both members of an equation are multiplied by the same nonzero quantity, the resulting equation Is
equivalent to the original equation.
Now we know all the techniques needed to solve most first-degree equations. There is no specific order
in which the properties should be applied.