Chapter 1, Problem 2CT

To determine

To calculate:

Given equation.

Answer to Problem 2CT

Solution of the given equation will be $x=-\frac{1}{3}$ .

Explanation of Solution

Given information:

  $\frac{2}{3}x+5=3$

Calculation:

Here, given equation is $\frac{2}{3}x+5=3$ .

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.

  $\frac{2}{3}x+5=3$

Subtract both sides by $5$ ,

  $\frac{2}{3}x+5-5=3-5$

Simplify,

  $\frac{2}{3}x=-2$

Multiply both sides by $3x$ ,

  $2=-6x$

Switch the sides,

  $2=-6x$

Divide both sides by $-6$ ,

  $x=-\frac{1}{3}$

Thus solution of the given equation will be $x=-\frac{1}{3}$ .