What is the answer to x-(((1-3x)/4))/(4)=((2-x/4))/3+10 3/4 ?

The answer to x-(((1-3x)/4))/(4)=((2-x/4))/3+10 3/4 is x=9 2/61

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x-(((1-3x)/4))/(4)=((2-x/4))/3+10 3/4

x - \frac{( \frac{1 - 3 x}{4} )}{4} = \frac{( 2 - \frac{x}{4} )}{3} + 10 \frac{3}{4}

x = 9 \frac{2}{61}

Decimal Notation

x = 9.03278 \dots

Solution steps

x - \frac{( \frac{1 - 3 x}{4} )}{4} = \frac{( 2 - \frac{x}{4} )}{3} + 10 \frac{3}{4}

Convert mixed numbers to improper fractions:

10 \frac{3}{4} = \frac{43}{4}

x - \frac{( \frac{1 - 3 x}{4} )}{4} = \frac{( 2 - \frac{x}{4} )}{3} + \frac{43}{4}

Expand

x - \frac{\frac{1 - 3 x}{4}}{4} : - \frac{1}{16} + \frac{19 x}{16}

Expand

\frac{2 - \frac{x}{4}}{3} + \frac{43}{4} : - \frac{x}{12} + \frac{2}{3} + \frac{43}{4}

- \frac{1}{16} + \frac{19 x}{16} = - \frac{x}{12} + \frac{2}{3} + \frac{43}{4}

Multiply by LCM

- 3 + 57 x = - 4 x + 548

Move

3

to the right side

57 x = - 4 x + 551

Move

4 x

to the left side

61 x = 551

Divide both sides by

61

x = \frac{551}{61}

Convert improper fractions to mixed numbers:

\frac{551}{61} = 9 \frac{2}{61}

x = 9 \frac{2}{61}

y, 6 x y = x^{4} + 3

3 x^{2} - 4 = 1 - \frac{8 - 6 x ^{2}}{2}

2 x + 12 = 4 x - 20

2 x + 3 = 5 x - 3

x, 5 + 2 y - 7 x = 0

What is the answer to x-(((1-3x)/4))/(4)=((2-x/4))/3+10 3/4 ?
The answer to x-(((1-3x)/4))/(4)=((2-x/4))/3+10 3/4 is x=9 2/61
Solve for x: x-(((1-3x)/4))/(4)=((2-x/4))/3+10 3/4
The solution is x=9 2/61