Chapter 4.5, Problem 27PPS

To determine

To solve and check: the given equation

Answer to Problem 27PPS

The required solution is $x=-1$

Explanation of Solution

Given: $x+7-2x=18$

Calculation:

To solve equation and check the solution

  $x+7-2x=18$

Add like terms

  $-x+7=18$

Add both sides of equation with $x-18$

  $\begin{array}{l}-x+7+x-18=18+x-18\\ -11=x\\ x=-1\end{array}$

Solution:- $x=-1$

Check

Substitute $x=-1$ in $x+7-2x=18$

  $\begin{array}{l}-11+7-2\left(-11\right)=18\\ -4+22=18\\ 18=18\end{array}$

Hence verified. So solution is $x=-1$

Conclusion:

Therefore, the required solution is $x=-1$