Question

How do you simplify $6+5x-\left( -3x \right)$?

Answer 1

Hint: In this problem we need to simplify the given expression. In the given expression we can observe the multiplication of arithmetic signs. So, we will use the arithmetic rules to simplify the multiplication of arithmetic signs. After that we can observe both the variables and constants in the expression. We can only perform the operation between variables and variables only and between constants and constants only. So, we will perform the operations which are in the obtained expression and simplify the expression to get the result.

Complete step by step solution:
Given that, $6+5x-\left( -3x \right)$.
In the above expression we can observe $-\left( - \right)$ which is nothing but the multiplication of negative signs. We know that when we multiply a negative sign with a negative sign, we will get a positive sign. Applying this rule in the given expression, then we will get
$\Rightarrow 6+5x-\left( -3x \right)=6+5x+3x$
In the above expression we can observe two variables which are $5x$, $3x$ and a constant which is $6$. We know that we can only perform operations between variables and variables. In the above expression we have addition operation between variables. Performing the addition operation, then we will have
$\Rightarrow 6+5x-\left( -3x \right)=6+8x$

Hence the simplified form of the given expression $6+5x-\left( -3x \right)$ is $6+8x$.

Note: In the above expression we have the simplified form as $6+8x$. In this value we can take $2$ as common and write the expression as $\Rightarrow 6+5x-\left( -3x \right)=2\left( 3+4x \right)$. In many cases we don’t have chances to take common, then we need to simplify the expression as mentioned above.