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

The answer to (x-1)/2-(x-2)/3-(x-3)/4 =-(x-5)/5 is x= 5/7

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

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

x = \frac{5}{7}

Decimal Notation

x = 0.71428 \dots

Solution steps

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

Multiply by LCM

30 (x - 1) - 20 (x - 2) - 15 (x - 3) = - 12 (x - 5)

Expand

30 (x - 1) - 20 (x - 2) - 15 (x - 3) : - 5 x + 55

Expand

- 12 (x - 5) : - 12 x + 60

- 5 x + 55 = - 12 x + 60

Move

55

to the right side

- 5 x = - 12 x + 5

Move

12 x

to the left side

7 x = 5

Divide both sides by

7

x = \frac{5}{7}

\frac{7}{18} - (\frac{5}{9})^{2}

5 + ∣ 2 x - 5 ∣ = 6

\frac{( y ^{3} - 1 ) ^{11}}{y ^{11}}

- (\frac{3}{5})^{3}

x (5 x + 12) = 9

What is the answer to (x-1)/2-(x-2)/3-(x-3)/4 =-(x-5)/5 ?
The answer to (x-1)/2-(x-2)/3-(x-3)/4 =-(x-5)/5 is x= 5/7
Solve for x: (x-1)/2-(x-2)/3-(x-3)/4 =-(x-5)/5
The solution is x= 5/7