Question

Solve the following equation $4x = 52$.

Answer 1

Hint: This problem is based on a linear equation of one variable. Here we need to find the value of variable ‘x’. We just need to keep variables on one side and constants on the other side just by simple mathematical operation. In the end we will get the value of ‘x’ which will be our required answer.

Complete step-by-step answer:
Given the equation is $4x = 52$.
The value for which should be known is $x$.
To find the value of the unknown the terms on the left side must be brought to the right side.
The term on the left side is in multiplication. To bring them to the right side we need to bring them in the division.
The equation is $4x = 52$
By bringing the terms in the left side to the right side in the above equation, we get
$x = \dfrac{{52}}{4}$
By dividing the values between the numerator and denominator in the above equation, we get
$x = 13$
The value of an unknown variable $x$ is $13$.

Note: Be careful while selecting the unknown variable. The values are brought in the denominator with division, not in multiplication. These equations are always solved by the elimination method. The elimination method is the method that will eliminate the unknown values and substitute one value to find another unknown value. Substituting the values first we need to equate but in an opposite sign one unknown value so that the unknown value which is equated is canceled.