Chapter 12.1, Problem 40E

To determine

To solve:The equation,

  $10-3x=37$ for $x$ .

Answer to Problem 40E

The value of the $x$ is $-9$ .

Explanation of Solution

Given: The equation is $10-3x=37$ .

Calculation:

Solve the equation for $x$

  $\begin{array}{l}10-3x=37\\ \Rightarrow -3x=37-10\\ \Rightarrow -3x=27\\ \Rightarrow x=-\frac{27}{3}\\ \Rightarrow x=-9\end{array}$

Thus, the value of the $x$ is $-9$ .

Check the solution, put the value of $x$ in the left-hand side of the equation

  $\begin{array}{l}=10-3\times \left(-9\right)\\ =37\end{array}$

  $=$ right hand side of the equation

Hence, the solution is checked.