What is the answer to (2(x-1))/3-(3(x-2))/4 =(4(x-3))/5-3/10 ?

The answer to (2(x-1))/3-(3(x-2))/4 =(4(x-3))/5-3/10 is x=4

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(2(x-1))/3-(3(x-2))/4 =(4(x-3))/5-3/10

\frac{2 ( x - 1 )}{3} - \frac{3 ( x - 2 )}{4} = \frac{4 ( x - 3 )}{5} - \frac{3}{10}

x = 4

Solution steps

\frac{2 ( x - 1 )}{3} - \frac{3 ( x - 2 )}{4} = \frac{4 ( x - 3 )}{5} - \frac{3}{10}

Multiply by LCM

40 (x - 1) - 45 (x - 2) = 48 (x - 3) - 18

Expand

40 (x - 1) - 45 (x - 2) : - 5 x + 50

Expand

48 (x - 3) - 18 : 48 x - 162

- 5 x + 50 = 48 x - 162

Move

50

to the right side

- 5 x = 48 x - 212

Move

48 x

to the left side

- 53 x = - 212

Divide both sides by

- 53

x = 4

(\frac{9}{x})^{2}

x^{2} - 2 x + 8 < 0

x^{2} - 9 x - 22 = 0

\frac{x - 3}{x ^{2} - x - 12} \geq 0

2 x - 5 \geq 3

What is the answer to (2(x-1))/3-(3(x-2))/4 =(4(x-3))/5-3/10 ?
The answer to (2(x-1))/3-(3(x-2))/4 =(4(x-3))/5-3/10 is x=4
Solve for x: (2(x-1))/3-(3(x-2))/4 =(4(x-3))/5-3/10
The solution is x=4