What is the answer to 2x-(2x-3x-1/8)= 2/3 (x+2/6)-1/4 ?

The answer to 2x-(2x-3x-1/8)= 2/3 (x+2/6)-1/4 is x=-11/168

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2x-(2x-3x-1/8)= 2/3 (x+2/6)-1/4

2 x - (2 x - 3 x - \frac{1}{8}) = \frac{2}{3} (x + \frac{2}{6}) - \frac{1}{4}

x = - \frac{11}{168}

Decimal Notation

x = - 0.06547 \dots

Solution steps

2 x - (2 x - 3 x - \frac{1}{8}) = \frac{2}{3} (x + \frac{2}{6}) - \frac{1}{4}

Add similar elements:

2 x - 3 x = - x

2 x - (- x - \frac{1}{8}) = \frac{2}{3} (x + \frac{2}{6}) - \frac{1}{4}

\frac{2}{3} (x + \frac{2}{6}) = \frac{2 ( x + \frac{1}{3} )}{3}

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

Multiply both sides by

3

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

Expand

- 3 (- x - \frac{1}{8}) : 3 x + \frac{3}{8}

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

Add similar elements:

6 x + 3 x = 9 x

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

Expand

2 (x + \frac{1}{3}) - \frac{3}{4} : 2 x - \frac{1}{12}

9 x + \frac{3}{8} = 2 x - \frac{1}{12}

Multiply by LCM

216 x + 9 = 48 x - 2

Move

9

to the right side

216 x = 48 x - 11

Move

48 x

to the left side

168 x = - 11

Divide both sides by

168

x = - \frac{11}{168}

x + 36 = 10 x - 18

y = 4 + 3 (1)^{4}

g - 3 = 9

\frac{9 - 2 x}{0.7} = \frac{2}{13}

0 = 5

What is the answer to 2x-(2x-3x-1/8)= 2/3 (x+2/6)-1/4 ?
The answer to 2x-(2x-3x-1/8)= 2/3 (x+2/6)-1/4 is x=-11/168
Solve for x: 2x-(2x-3x-1/8)= 2/3 (x+2/6)-1/4
The solution is x=-11/168