Question

How do you solve $ 5x - 12 = 2x + 6 $ ?

Answer 1

Hint: In this question we need to determine the value of variable $ x $ . Whenever we are facing an equation with one variable, the first and foremost thing we need to do is to bring the variable to one side of the equation and the remaining terms to the other side of the equation. Here, we do the same and evaluate to determine the required value of the variable $ x $ .

Complete step-by-step answer:
Now, we need to solve $ 5x - 12 = 2x + 6 $ . Here we need to determine the value of the variable $ x $ .
Let us bring the terms with variable $ x $ to one side of the equation and the constants to the other side of the equation.
 $ 5x - 12 = 2x + 6 $
 $ 5x - 2x = 6 + 12 $
 $ 3x = 18 $
 $ x = \dfrac{{18}}{3} $
 $ x = 6 $
Hence, the value of the variable $ x $ is $ 6 $ .
So, the correct answer is “6”.

Note: In this question it is important to note here that when we are facing these types of questions, the first basic thing we need to do is, simplify each side of the equation by removing parentheses and combining like terms. Then, isolate the variable term on one side of the equation by using addition or subtraction. And, use multiplication or division to solve for the variable. Suppose, if we are applying an operation to one side of the equation then we must apply to the other side of the equation also. If we didn’t apply then it would be wrong. For example: squaring on both sides, etc. by maintaining this rule, we can change the way the terms of an equation are written without changing their relation to each other. Fractions may be removed by multiplying each side of the equation by the common denominator.