Question

How do you solve the equation $2x+\left( -5 \right)=-17$?

Answer 1

Hint: Now we are given with a linear equation in one variable x. Now we know that $+\left( -x \right)=-x$ hence using this we will first simplify the given equation. Now to solve the equation we will shift – 5 from LHS to RHS and simplify. Now we will further simplify the equation by dividing the whole equation by 2. Hence we will get the value if x which is nothing but the solution of the given equation.

Complete step by step solution:
Now consider the given equation $2x+\left( -5 \right)=-17$ .
Now to solve the given equation we will try to write it in the form of $ax=b$
First we will simplify the equation to remove brackets.
Now we know that $+\left( -x \right)=-x$ . Hence using this in the above equation we get,
$\Rightarrow 2x-5=-17$
Now on shifting – 5 from LHS to RHS we get,
$\Rightarrow 2x=5-17$
Now again simplifying the above equation we get,
$\Rightarrow 2x=-12$
Now we have the equation in the form $ax=b$ . Now we know that to solve this equation we will divide the equation by a. hence dividing the above equation by 2 we get,
$\Rightarrow x=-6$
Hence the value of x is - 6.
Hence x = - 6 is the solution to the given equation.

Note: Now note that while transposing terms on opposite sides the sign of the term changes. Hence when we transpose a positive term it becomes negative similarly if we transpose a negative term it becomes positive. Also substitute the obtained value of x in the equation to check if the solution is correct or not.