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

The answer to (3(x-2))/4-(2(x-3))/3 = x/6-(3x-6)/4 is x= 3/2

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(3(x-2))/4-(2(x-3))/3 = x/6-(3x-6)/4

\frac{3 ( x - 2 )}{4} - \frac{2 ( x - 3 )}{3} = \frac{x}{6} - \frac{3 x - 6}{4}

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

\frac{3 ( x - 2 )}{4} - \frac{2 ( x - 3 )}{3} = \frac{x}{6} - \frac{3 x - 6}{4}

Multiply by LCM

9 (x - 2) - 8 (x - 3) = 2 x - 3 (3 x - 6)

Expand

- 3 (3 x - 6) : - 9 x + 18

x + 6 = 2 x - 9 x + 18

Add similar elements:

2 x - 9 x = - 7 x

x + 6 = - 7 x + 18

Expand

9 (x - 2) - 8 (x - 3) : x + 6

x + 6 = - 7 x + 18

Move

6

to the right side

x = - 7 x + 12

Move

7 x

to the left side

8 x = 12

Divide both sides by

8

x = \frac{3}{2}

x^{2} + 3 x - 2

4 x^{2} + 4 x - 15 = 0

(8 + 9 i) (8 - 9 i)

2 x^{2} + 1 x - 3

x - 6 = 0

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