What is the answer to (2x-1)/3-(6x-2)/5 = 1/3 ?

The answer to (2x-1)/3-(6x-2)/5 = 1/3 is x=-1/2

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(2x-1)/3-(6x-2)/5 = 1/3

\frac{2 x - 1}{3} - \frac{6 x - 2}{5} = \frac{1}{3}

x = - \frac{1}{2}

Decimal Notation

x = - 0.5

Solution steps

\frac{2 x - 1}{3} - \frac{6 x - 2}{5} = \frac{1}{3}

Multiply by LCM

5 (2 x - 1) - 3 (6 x - 2) = 5

Expand

5 (2 x - 1) - 3 (6 x - 2) : - 8 x + 1

- 8 x + 1 = 5

Move

1

to the right side

- 8 x = 4

Divide both sides by

- 8

x = - \frac{1}{2}

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

23 - z = 17

\frac{x - 6}{7} - \frac{7 - x}{6} = 2

- 2 = - 2

2 (5 x - 2) = 8 x

What is the answer to (2x-1)/3-(6x-2)/5 = 1/3 ?
The answer to (2x-1)/3-(6x-2)/5 = 1/3 is x=-1/2
Solve for x: (2x-1)/3-(6x-2)/5 = 1/3
The solution is x=-1/2