Answer

Verified

339.9k+ views

**Hint:**The equation given in the above question is a linear equation in one variable, that is x. The question says that we have to solve the given equation in x. In other words, we have to find the values of x which will satisfy the given equation. Try to find the value of x by performing some mathematical operations.

**Complete step-by-step solution:**

The given equation says that $ax+b=cx-d$. Let us analyse the given equation and check what we can do to find the value of x that satisfies the given equation. The first thing that we can do is to club the terms having x on one side of the equation (say on the left hand side of the equation).

Then, after doing this we can write the equation as $ax-cx+b=-d$.

Now, we can club the constant terms on the other side (i.e. right hand side of the equation).

With this, the above equation can be written as $ax-cx=b-d$.

Now, we can take ‘x’ as the common term from the left hand side of the equation.

Therefore, the equation can be written as $x(a-c)=b-d$.

Then,

$\Rightarrow x=\dfrac{b-d}{a-c}$

Therefore, the solution of the given equation is $x=\dfrac{b-d}{a-c}$ or we can also say that the value $x=\dfrac{b-d}{a-c}$ satisfies the given equation.

**Note:**There are many ways in which we can solve this question. We can also directionally add the two fractions on the left hand side of the equation and calculate the value of x. However, students must note that the number of solutions to a given equation in one variable is always less than or equal to the degree of the polynomial in the given equation.

Recently Updated Pages

The branch of science which deals with nature and natural class 10 physics CBSE

Three beakers labelled as A B and C each containing 25 mL of water were taken A small amount of NaOH anhydrous CuSO4 and NaCl were added to the beakers A B and C respectively It was observed that there was an increase in the temperature of the solutions contained in beakers A and B whereas in case of beaker C the temperature of the solution falls Which one of the following statements isarecorrect i In beakers A and B exothermic process has occurred ii In beakers A and B endothermic process has occurred iii In beaker C exothermic process has occurred iv In beaker C endothermic process has occurred

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Define absolute refractive index of a medium

Find out what do the algal bloom and redtides sign class 10 biology CBSE

Prove that the function fleft x right xn is continuous class 12 maths CBSE

Trending doubts

How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE

Distinguish between the reserved forests and protected class 10 biology CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Give simple chemical tests to distinguish between the class 12 chemistry CBSE

Difference Between Plant Cell and Animal Cell

Which of the following books is not written by Harshavardhana class 6 social science CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

In which states of India are mango showers common What class 9 social science CBSE

What Made Mr Keesing Allow Anne to Talk in Class class 10 english CBSE