# To find the real solutions of equation 7 x − 6 = 4 x + 9 .

### 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 65RE
To determine

## To find the real solutions of equation 7x−6=4x+9 .

Expert Solution

The solution of the equation is x=5 .

### Explanation of Solution

Given information:

7x6=4x+9

Formula used:

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

Calculations:

=7x6=4x+9

=7x69=4x+99 (Subtracting 9 from both the sides)

=7x15=4x

=7x154x=4x4x (Subtracting 4x from both the sides)

=7x4x15=0 (Subtracting like terms)

=3x15=0

=3x15+15=0+15 (Adding 15 on both the sides)

=3x=15

=3x3=153 (Dividing 3 on both the sides)

=x=5

The solution of the equation is x=5 .

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