What is the answer to 2x-(3x-1)/8 = 2/3 ((x+2)/4) ?

The answer to 2x-(3x-1)/8 = 2/3 ((x+2)/4) is x= 1/7

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2x-(3x-1)/8 = 2/3 ((x+2)/4)

2 x - \frac{3 x - 1}{8} = \frac{2}{3} (\frac{x + 2}{4})

x = \frac{1}{7}

Decimal Notation

x = 0.14285 \dots

Solution steps

2 x - \frac{3 x - 1}{8} = \frac{2}{3} (\frac{x + 2}{4})

Multiply by LCM

48 x - 3 (3 x - 1) = 4 (x + 2)

Expand

- 3 (3 x - 1) : - 9 x + 3

48 x - 9 x + 3 = 4 (x + 2)

Add similar elements:

48 x - 9 x = 39 x

39 x + 3 = 4 (x + 2)

Expand

4 (x + 2) : 4 x + 8

39 x + 3 = 4 x + 8

Move

3

to the right side

39 x = 4 x + 5

Move

4 x

to the left side

35 x = 5

Divide both sides by

35

x = \frac{1}{7}

x + 27 = \frac{180 - x}{2}

9 x = 2 - 7 x

\frac{1}{6} - \frac{1}{3} = - \frac{1}{6}

3 lo g_{3} (6) = x

x, 5 x + 7 y = 10

What is the answer to 2x-(3x-1)/8 = 2/3 ((x+2)/4) ?
The answer to 2x-(3x-1)/8 = 2/3 ((x+2)/4) is x= 1/7
Solve for x: 2x-(3x-1)/8 = 2/3 ((x+2)/4)
The solution is x= 1/7