Question

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

Answer 1

Hint: Here in this question, we have to solve the given equation and it is in the form of an algebraic equation having a variable x. Solving this equation, we have to find the unknown value x by using the basic arithmetic operation like multiplication and division.

Complete step by step answer:
 The given equation is an algebraic equation. The algebraic equation is a combination of variable and constant and which has an equal sign. So we use arithmetic operations and solve it further.
Now consider the given equation
$$\Rightarrow 2x+5=-2$$
Subtract 5 from both sides of the equation.
$$\Rightarrow 2x=-2-5$$
On simplification, we get
$$\Rightarrow 2x=-7$$
Now divide the above equation both side by 2, then we get
$$\therefore x=-{\displaystyle \frac{7}{2}}$$
Hence, it’s a required solution.
We can also verify the given question by substituting the value of x.
Consider $$2x+5=-2$$. Substitute the value of x as $$-{\displaystyle \frac{7}{2}}$$, so we have
$$\Rightarrow 2\left(-{\displaystyle \frac{7}{2}}\right)+5=-2$$
On simplification we get
$$\Rightarrow -7+5=-2$$
$$\therefore -2=-2$$
Hence LHS is equal to RHS.

Note: There are three methods to solve linear equations in one variable:
1. Trial and error
2. Inverse Operations
3. Transposition method
If the algebraic expression contains only one unknown, we determine the value by using simple arithmetic operations.