What is the answer to (3(4x-2))/6 =(11x)/2-(3(x+1))/5 ?

The answer to (3(4x-2))/6 =(11x)/2-(3(x+1))/5 is x=-4/29

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(3(4x-2))/6 =(11x)/2-(3(x+1))/5

\frac{3 ( 4 x - 2 )}{6} = \frac{11 x}{2} - \frac{3 ( x + 1 )}{5}

x = - \frac{4}{29}

Decimal Notation

x = - 0.13793 \dots

Solution steps

\frac{3 ( 4 x - 2 )}{6} = \frac{11 x}{2} - \frac{3 ( x + 1 )}{5}

Multiply by LCM

30 (2 x - 1) = 165 x - 18 (x + 1)

Expand

- 18 (x + 1) : - 18 x - 18

60 x - 30 = 165 x - 18 x - 18

Add similar elements:

165 x - 18 x = 147 x

60 x - 30 = 147 x - 18

Expand

30 (2 x - 1) : 60 x - 30

60 x - 30 = 147 x - 18

Move

30

to the right side

60 x = 147 x + 12

Move

147 x

to the left side

- 87 x = 12

Divide both sides by

- 87

x = - \frac{4}{29}

x^{4} - 8 x

4 x^{2} + 5 x - 6

3 x + 15 = 3 (x + 5)

\frac{5 i}{( 2 + 3 i ) ^{2}}

s^{2} - 4 s t - 12 t^{2}

What is the answer to (3(4x-2))/6 =(11x)/2-(3(x+1))/5 ?
The answer to (3(4x-2))/6 =(11x)/2-(3(x+1))/5 is x=-4/29
Solve for x: (3(4x-2))/6 =(11x)/2-(3(x+1))/5
The solution is x=-4/29