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

The answer to (3(x-4))/4 =(2(x-3))/3+1 is x=24

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

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

x = 24

Solution steps

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

Multiply by LCM

9 (x - 4) = 8 (x - 3) + 12

Expand

9 (x - 4) : 9 x - 36

Expand

8 (x - 3) + 12 : 8 x - 12

9 x - 36 = 8 x - 12

Move

36

to the right side

9 x = 8 x + 24

Move

8 x

to the left side

x = 24

x + 1 = - 5 - (x + 6) + 8 x

x, x + 2 y + 5 = 0

11 + 2 x = 6 x - 3 + 3 x

x, - x - y + 1 = 0

x = 2 (\frac{2 3}{3})

What is the answer to (3(x-4))/4 =(2(x-3))/3+1 ?
The answer to (3(x-4))/4 =(2(x-3))/3+1 is x=24
Solve for x: (3(x-4))/4 =(2(x-3))/3+1
The solution is x=24