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If we have an equation $3x+5\left( 2-x \right)=-16$, then find $x$.
A. 3
B. - 13
C. 13
D. - 3

Last updated date: 16th Jul 2024
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Hint: For solving this question you should know about the general mathematics calculations of expressions. In this problem it is asked to find the value of $x$. And this can be solved by general addition and subtraction of any numbers of terms on both sides. As we can say any term is added or subtracted as a form of zero.

Complete step-by-step solution:
According to our question it is asked of us to find the value of $x$ if $3x+5\left( 2-x \right)=-16$ . Now as we know that if we want to solve any equation or any expression, then we can add any term as a form of zero. It means that we will be doing addition and subtraction of the same term with the same signs, if we are adding or subtracting that from both sides of an equation. And if we add in only one side of the equation, then we add and subtract the same term with one negative and one positive sign. According to the question, the equation given to us is:
$3x+5\left( 2-x \right)=-16$
If we solve this equation, then we get:
  & 3x+10-5x=-16 \\
 & \Rightarrow 10-2x=-16 \\
 & \Rightarrow 2x=26 \\
 & \Rightarrow x=\dfrac{26}{2}=13 \\
So, the value of x is 13 and the correct option is C.

Note: While solving this type of questions we have to always add or subtract the term which will make it easy for the question. And if the variables are of higher order, then too we will make the higher ordered term to add or subtract in the equation.