# To find the real solutions of equation 8 − 2 x = 14 + x . ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1, Problem 66RE
To determine

## To find the real solutions of equation 8−2x=14+x .

Expert Solution

The solution is x=2 .

### Explanation of Solution

Given information:

82x=14+x

Formula used:

We will solve equation by changing it to an equivalent equation.

Calculations:

=82x=14+x

=82xx=14+xx (Subtracting x from both the sides)

=83x=14

=83x14=1414 (Subtracting 14 from both the sides)

=8143x=0 (Subtracting like terms)

=63x=0

=63x+6=0+6 (Adding 6 on both the sides)

=3x=6

=3x3=63 (Dividing 3 on both the sides)

=x=2

=(1)(x)=(1)(2) (Multiply by (-1) on both the sides)

The solution of the equation is x=2 .

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