How do you simplify the expression $2-8\left( -7+x \right)+5x$ ?

Hint: In this question, we have to simplify the given algebraic expression. Thus, we will use the distributive property and the basic mathematical rule to get the solution. So, in this problem, we will first apply the distributive property $a\left( b+c \right)=ab+ac$ in the given expression. After that, we will open the brackets of the expression. In the end, we will make the necessary calculations by solving the same terms, to get the required solution for the problem.

Complete step by step solution:
According to the problem, we have to simplify the given algebraic expression.
Thus, we will use the distributive property and the basic mathematical rule to get the solution.
The algebraic expression given to us is $2-8\left( -7+x \right)+5x$ --------- (1)
So, first we will apply the distributive property $a\left( b+c \right)=ab+ac$ in equation (1), we get
$\Rightarrow 2-8\left( -7 \right)-8\left( x \right)+5x$
So, we will now open the brackets of the above expression, we get
$\Rightarrow 2+56-8x+5x$
Now, we will solve the numbers and the variables of the above expression, we get
$\Rightarrow 58-3x$ which is the required solution.
Therefore, for the expression $2-8\left( -7+x \right)+5x$ , its simplified value is equal to $58-3x$.

Note: While solving this problem, do the calculations properly to avoid mathematical error. Do not forget to mention the formula you are using to get the accurate answer. Also, remember that when minus sign is multiplied by minus sign, we get plus sign and when plus sign multiplied by minus sign, we get minus sign.