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

The answer to 3x-5(2x-1)+1/3 (x-2)= 1/2 (x-1) is x= 29/43

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

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

x = \frac{29}{43}

Decimal Notation

x = 0.67441 \dots

Solution steps

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

Expand

3 x - 5 (2 x - 1) + \frac{1}{3} (x - 2) : - \frac{20 x}{3} - \frac{2}{3} + 5

Expand

\frac{1}{2} (x - 1) : \frac{1}{2} x - \frac{1}{2}

- \frac{20 x}{3} - \frac{2}{3} + 5 = \frac{1}{2} x - \frac{1}{2}

Move

\frac{2}{3}

to the right side

- \frac{20 x}{3} + 5 = \frac{1}{6} + \frac{1}{2} x

Move

5

to the right side

- \frac{20 x}{3} = - \frac{29}{6} + \frac{1}{2} x

Move

\frac{1}{2} x

to the left side

- \frac{43 x}{6} = - \frac{29}{6}

Multiply both sides by

6

- 43 x = - 29

Divide both sides by

- 43

x = \frac{29}{43}

0 = x^{2} + 4 x - 8

\frac{n}{4} = 4

6 x^{4} + 4 x^{3} - 9 x^{2} - 6 x

\frac{2 x - 6}{3} = - 12

2 x^{2} + x + 1 = 64 + 40 + 2

What is the answer to 3x-5(2x-1)+1/3 (x-2)= 1/2 (x-1) ?
The answer to 3x-5(2x-1)+1/3 (x-2)= 1/2 (x-1) is x= 29/43
Solve for x: 3x-5(2x-1)+1/3 (x-2)= 1/2 (x-1)
The solution is x= 29/43