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

The answer to (x-1)/2 =(x-3)/4-(x-4)/5 is x= 11/9

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(x-1)/2 =(x-3)/4-(x-4)/5

\frac{x - 1}{2} = \frac{x - 3}{4} - \frac{x - 4}{5}

x = \frac{11}{9}

Decimal Notation

x = 1.22222 \dots

Solution steps

\frac{x - 1}{2} = \frac{x - 3}{4} - \frac{x - 4}{5}

Multiply by LCM

10 (x - 1) = 5 (x - 3) - 4 (x - 4)

Expand

10 (x - 1) : 10 x - 10

Expand

5 (x - 3) - 4 (x - 4) : x + 1

10 x - 10 = x + 1

Move

10

to the right side

10 x = x + 11

Move

x

to the left side

9 x = 11

Divide both sides by

9

x = \frac{11}{9}

30 = \frac{1}{2} (x - 50)

4 (3 x - 2) = 2 [x - 5 (x - 6)]

2 \frac{1}{2} x - 1 \frac{5}{8} = 2 \frac{3}{4}

x, k x + 12 = 3 k x

y, x y - 3 x - 2 y + 5 = 0

What is the answer to (x-1)/2 =(x-3)/4-(x-4)/5 ?
The answer to (x-1)/2 =(x-3)/4-(x-4)/5 is x= 11/9
Solve for x: (x-1)/2 =(x-3)/4-(x-4)/5
The solution is x= 11/9