Question

How do you solve the equation $2x – 4= -10$?

Answer 1

Hint: The above problem is based on the basic concepts of mathematical operations to calculate the value of the variable given in the equation.
Variable is the term in the equation whose value keeps on changing as per the given operations provided in the monomial (the equation which contains only variables and constants having the degree of the variable as one).
Using some basic mathematical operations we will find the value of the variable.

Complete step-by-step solution:
Let’s discuss some basic operations useful in solving the given equation.
When an integer is shifted from RHS to LHS and LHS to RHS its sign changes, that is from positive to negative and negative to positive sign. When an equation contains a variable then we must separate the variable on one side and constant on one side. If the coefficient of variable is one then the value of the variable can be calculated directly, if the coefficient of variable is more than one, then that constant value must be divided with the other constant value which was separated.
The same basics we will apply in order to solve the given equation.
$ \Rightarrow 2x - 4 = - 10$ (Given equation)
$ \Rightarrow 2x = - 10 + 4$ (We have shifted the constant value on RHS)
$ \Rightarrow 2x = - 6$ (Four is subtracted from 10)
$ \Rightarrow x = \dfrac{{ - 6}}{2} = - 3$

Therefore the value of x is equal to -3.

Note: We use to make monomial equations in order to find the variable value such as in solving many problems of physics like projectile motion, in mathematics problems of ages, average, time and work, even graphs can use equations to be drawn like parabolic graph, exponential graph.