Question

How do you solve the equation $2x-24=x$ ?

Answer 1

Hint: Now the given equation is a linear equation in x hence we will first separate the variable terms and constant terms to solve the equation. Now we will simplify the equation so that we get the required value of x.

Complete step by step solution:
Now we know that the given equation is a linear equation in which the variable is x.
Since x is the unknown quantity we want to find the value of x.
To find the solution of the given equation we will first simplify the equation and write it in the form $ax=b$ .
Now consider the given equation $2x-24=x$
Now first we will shift x from RHS to LHS and 24 from LHS to RHS as to separate the variables and constants.
Hence we get the equation as $2x-x=24$
Now we know that we can add and subtract the terms with the same variables and same degree.
Hence we know 2x – x = x.
Hence using this in the given equation we get $x=24$

Hence we have the solution of the given equation which is x = 24.

Note: Now note that while shifting terms from LHS to RHS or from RHS to LHS the sign of the term changes. Hence in the above example – x becomes x and – 24 becomes 24 after shifting on the other side. Also always check the obtained value of x is correct or not by substituting the value in the above equation. Hence if the value is correct it will satisfy the given equation.