Chapter 1, Problem 3CT

To determine

To calculate:

Given equation.

Answer to Problem 3CT

Solution of the given equation will be $x=-\frac{1}{5}$ .

Explanation of Solution

Given information:

  $11x+1=-1+x$

Calculation:

Here, given equation is $11x+1=-1+x$ .

For solving the equation, isolate the variable by performing operations to both sides of equation.

For checking substitute the value of variable in the original equation.

  $11x+1=-1+x$

Subtract $1$ from both sides by,

  $11x+1-1=-1+x-1$

Simplify,

  $11x=x-2$

Subtract $x$ from both sides,

  $11x-x=x-2-x$

Simplify,

  $10x=-2$

Divide both sides by $10$ ,

  $\begin{array}{l}\frac{10x}{10}=\frac{-2}{10}\\ x=-\frac{1}{5}\end{array}$

Thus solution of the given equation will be $x=-\frac{1}{5}$ .