Question

How do you simplify \[7x - \left( {9x + 5} \right)\]?

Answer 1

Hint: In this question, we have to simplify the given expression.
To simplify a given problem we need to use the BODMAS rule.
First we remove the bracket and multiply the negative sign with the given two terms. After that subtraction is considered term wise to get the result from left to right.

Complete step-by-step solution:
It is given that the question stated as, \[7x - \left( {9x + 5} \right)\]
We need to simplify \[7x - \left( {9x + 5} \right)\].
To simplify the given expression we remove the bracket and multiply the negative sign with the given two terms.
After that subtractions are considered term wise for x variables and constant term to get the result from left to right.
\[ \Rightarrow 7x - \left( {9x + 5} \right)\]
On rewriting term by removing the brackets we can write it as,
\[ \Rightarrow 7x - 9x - 5\]
On subtracting the variable terms we get and write it as,
\[ \Rightarrow - 2x - 5\]
Therefore, \[7x - \left( {9x + 5} \right) = - 2x - 5\].
Hence simplification of the given term \[7x - \left( {9x + 5} \right)\] is \[ - 2x - 5\]

Hence, we will get the final answer as \[ - 2x - 5\]

Note: Algebraic operation:
In mathematics, a basic algebraic operation is any one of the common operations of arithmetic, which include addition, subtraction, and multiplication, division, raising to an integer power, and taking roots (fractional power).
To simplify algebraic expressions we will consider highest power first then less the powers accordingly and end it with the constant term.
“Operations” mean things like add, subtract, multiply, divide, squaring, etc. If it isn’t a number it is probably an operation.
Calculate them in the wrong order, and you can get a wrong answer.
Rule:
B→ Brackets first
O→ Orders (i.e. Powers and Square Roots, etc.)
DM→ Division and Multiplication (left-to-right)
AS→ Addition and Subtraction (left-to-right)