Question

How do you solve \[4x - \left( {3x + 11} \right) = - 11\] ?

Answer 1

Hint: To solve the given equation, combine all the like terms or by using any of the elementary arithmetic functions i.e., addition, subtraction, multiplication and division hence simplify the terms to get the value of \[x\].

Complete step by step solution:
Let us write the given equation
\[ \Rightarrow 4x - \left( {3x + 11} \right) = - 11\]
As the given equation is in the form of distribution of x terms, hence let us equate the terms we get the given equation as
\[ \Rightarrow 4x - 3x - 11 = - 11\]
Combine the like terms, of the obtained equation in which the x terms of the equation after simplifying we get
\[ \Rightarrow 4x - 3x = 1x\]
Hence the equation is
\[ \Rightarrow 1x - 11 = - 11\]
\[ \Rightarrow \]\[x - 11 = - 11\]
Add 11 to both sides of the equation to get the value of \[x\]as
\[ \Rightarrow [x - 11 + 11 = - 11 + 11\]
As we can see that -11 and +11 implies to zero, hence we get
Therefore, we get the value of \[x\] as
\[x = 0\]
Hence, the value of \[x\] in the given equation is \[x = 0\].

Note: We know that Simultaneous equations are two equations, each with the same two unknowns and are "simultaneous" because they are solved together, hence the key point to solve this kind of equations is we need to combine all the like terms and then simplify the terms to get the variable asked.