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

The answer to (3(x-1))/4-(2(x-2))/3 =(x-2)/2 is x= 19/5

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(3(x-1))/4-(2(x-2))/3 =(x-2)/2

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

x = \frac{19}{5}

Decimal Notation

x = 3.8

Solution steps

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

Multiply by LCM

9 (x - 1) - 8 (x - 2) = 6 (x - 2)

Expand

9 (x - 1) - 8 (x - 2) : x + 7

Expand

6 (x - 2) : 6 x - 12

x + 7 = 6 x - 12

Move

7

to the right side

x = 6 x - 19

Move

6 x

to the left side

- 5 x = - 19

Divide both sides by

- 5

x = \frac{19}{5}

- x = - 5

x, 12 x + 5 y + 26 = 0

10000 (x - 0.85) = 0

b, A = \frac{1}{2} (b + b) h

x, y - x + 2 = 0

What is the answer to (3(x-1))/4-(2(x-2))/3 =(x-2)/2 ?
The answer to (3(x-1))/4-(2(x-2))/3 =(x-2)/2 is x= 19/5
Solve for x: (3(x-1))/4-(2(x-2))/3 =(x-2)/2
The solution is x= 19/5