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Question

Question: How do you solve \(x+15=30\)?...

How do you solve x+15=30x+15=30?

Explanation

Solution

As the given equation is a linear equation. We will solve the given equation by shifting the terms and then simplify the obtained equation. We will shift all constant terms to the right side of the equation and keep the variable term at the left side. Then by solving the algebraic operations we get the desired answer.

Complete step by step solution:
We have been given a linear equation.
We have to solve the given equation and find the value of an unknown variable i. e. x.
Now, we know that the given equation is a linear equation in one variable and it has only one solution. So by solving the given equation we get the value of an unknown variable.
To solve the given equation let us shift the constant terms to the right side and keep the variable term at the left side. Then we will get
x=3015\Rightarrow x=30-15
Now, simplifying the above obtained equation we will get
x=15\Rightarrow x=15
So on solving the given equation we get the value of x as 15.

Note: Alternatively we can solve the equation in following way:
First we will subtract 15 from both sides of the equation then we will get
x+15=30 x+1515=3015 \begin{aligned} & \Rightarrow x+15=30 \\\ & \Rightarrow x+15-15=30-15 \\\ \end{aligned}
Now, simplifying the above obtained equation we will get
x=15\Rightarrow x=15
So on solving the given equation we get the value of x as 15. We can also verify the answer by putting the obtained value in the given equation.