90.6k views
17 votes
(x + 2/3x) - ⅓(x + 2/3x) = 10

2 Answers

3 votes

Answer:

x = 9

Explanation:

Given

(x +
(2)/(3) x ) -
(1)/(3)(x +
(2)/(3) x ) = 10 ← distribute parenthesis

x +
(2)/(3) x -
(1)/(3) x -
(2)/(9) x = 10

Multiply through by 9 ( the LCM of 3 and 9 ) to clear the fractions

9x + 6x - 3x - 2x = 90

10x = 90 ( divide both sides by 10 )

x = 9

User Sivachandran
by
8.2k points
7 votes

Answer:

x=9

Explanation:

Solve for x

(

x

+

2

3

x

)

1

3

(

x

+

2

3

x

)

=

10

Simplify

x

+

2

3

x

1

3

(

x

+

2

3

x

)

.

Tap for fewer steps...

Simplify each term.

Tap for more steps...

x

+

2

x

3

5

x

9

=

10

Find the common denominator.

Tap for more steps...

x

9

9

+

2

x

3

9

5

x

9

=

10

Combine fractions with similar denominators.

x

9

+

2

x

3

5

x

9

=

10

Subtract

5

x

from

x

9

.

Tap for more steps...

2

x

3

+

4

x

9

=

10

Multiply

3

by

2

.

6

x

+

4

x

9

=

10

Add

6

x

and

4

x

.

10

x

9

=

10

Multiply both sides of the equation by

9

10

.

9

10

10

x

9

=

9

10

10

Simplify both sides of the equation.

Tap for fewer steps...

Simplify

9

10

10

x

9

.

Tap for more steps...

x

=

9

10

10

Cancel the common factor of

10

.

Tap for fewer steps...

Cancel the common factor.

x

=

9

10

10

Rewrite the expression.

x

=

9

User Damien Ryan
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories