Question

How do you solve \[17=3x+2\]?

Answer 1

Hint: In this problem, we have to solve and find the value of x. We can first take the constant term 2 to one side and the terms with the variable to the other side, from the left-hand side to the right-hand side. We can then do further simplification by dividing similar numbers with the variable x to find the value of x.

Complete step by step solution:
We know that the given equation to be solved is,
 \[17=3x+2\]
We can now subtract the number 2 on both the left-hand side and the right-hand side of the equation, we get
\[17-2=3x+2-2\]
We can now simplify the above step, we get
\[\Rightarrow 15=3x\]
We can now simplify the above step by dividing 3 on both sides, and cancel the terms with variables in the right-hand side, we get
\[\Rightarrow x=5\]
Therefore, the value of x is 5.

Note: Students make mistakes while adding or subtracting the correct numbers to the given equation on both the left-hand side and the right-hand side of the equation in order to cancel similar terms to get a simplified form so that we can find the value of the given unknown variable in the given equation. We can substitute the resulting value in the equation to check for the correct values.
We can substitute x = 5 in \[17=3x+2\],
\[\begin{align}
  & \Rightarrow 17=3\left( 5 \right)+2 \\
 & \Rightarrow 17=15+2 \\
\end{align}\]
Therefore, the value x = 5 is correct for the given equation.