What is the answer to (3x+4)/3-((x-2))/5 =(2-x)/(15)-1/3 ?

The answer to (3x+4)/3-((x-2))/5 =(2-x)/(15)-1/3 is x=-29/13

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(3x+4)/3-((x-2))/5 =(2-x)/(15)-1/3

\frac{3 x + 4}{3} - \frac{( x - 2 )}{5} = \frac{2 - x}{15} - \frac{1}{3}

x = - \frac{29}{13}

Decimal Notation

x = - 2.23076 \dots

Solution steps

\frac{3 x + 4}{3} - \frac{( x - 2 )}{5} = \frac{2 - x}{15} - \frac{1}{3}

\frac{3 x + 4}{3} - \frac{x - 2}{5} = \frac{2 - x}{15} - \frac{1}{3}

Multiply by LCM

5 (3 x + 4) - 3 (x - 2) = - x - 3

Expand

5 (3 x + 4) - 3 (x - 2) : 12 x + 26

12 x + 26 = - x - 3

Move

26

to the right side

12 x = - x - 29

Move

x

to the left side

13 x = - 29

Divide both sides by

13

x = - \frac{29}{13}

∣ x + 4 ∣ \leq 9

- 20 n^{2} - 42 n + 20

5 = 30 - 4 x

\frac{k ^{2} - 11 k + 30}{9 k ^{2} - 90 k + 216}

8 x - 11 > - 27

What is the answer to (3x+4)/3-((x-2))/5 =(2-x)/(15)-1/3 ?
The answer to (3x+4)/3-((x-2))/5 =(2-x)/(15)-1/3 is x=-29/13
Solve for x: (3x+4)/3-((x-2))/5 =(2-x)/(15)-1/3
The solution is x=-29/13