Chapter 12, Problem 42CUR

To determine

To solve: The equation $102=6\left(5-3x\right)$ .

Answer to Problem 42CUR

The value of $x$ is $\left(-4\right)$ .

Explanation of Solution

Given information : The equation is $102=6\left(5-3x\right)$ .

Concept used : First we have to solve the equation then the $x$ substitute by the value of $x$ in the equation to check.

Calculation :

  $\begin{array}{l}102=6\left(5-3x\right)\\ \Rightarrow 102=30-18x\\ \Rightarrow 102-30=-18x\\ \Rightarrow 72=-18x\\ \Rightarrow x=\frac{72}{-18}\\ \Rightarrow x=-4\end{array}$

Thus, the value of $x$ is $\left(-4\right)$ .

Verification:

Left hand side $=102$

Right hand side,

  $\begin{array}{l}6\left(5-3x\right)\\ =30-18x\\ =30-18\times \left(-4\right)\\ =-30-72\\ =-102\end{array}$

Therefore, Right hand side = Left hand side.