What is the answer to (3(x-6))/2 =(2x)/5-12 ?

The answer to (3(x-6))/2 =(2x)/5-12 is x=-30/11

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(3(x-6))/2 =(2x)/5-12

\frac{3 ( x - 6 )}{2} = \frac{2 x}{5} - 12

x = - \frac{30}{11}

Decimal Notation

x = - 2.72727 \dots

Solution steps

\frac{3 ( x - 6 )}{2} = \frac{2 x}{5} - 12

Multiply by LCM

15 (x - 6) = 4 x - 120

Expand

15 (x - 6) : 15 x - 90

15 x - 90 = 4 x - 120

Move

90

to the right side

15 x = 4 x - 30

Move

4 x

to the left side

11 x = - 30

Divide both sides by

11

x = - \frac{30}{11}

2 \cdot 9.8

2^{3} \cdot 7^{3}

x^{2} + 7 x + 9 = 3

\frac{x}{13} - 14 = - 16

1 \leq n + 4 \leq 8

What is the answer to (3(x-6))/2 =(2x)/5-12 ?
The answer to (3(x-6))/2 =(2x)/5-12 is x=-30/11
Solve for x: (3(x-6))/2 =(2x)/5-12
The solution is x=-30/11