What is the answer to 3/4 (3-1/9 x)-1/6 (1-1/3 x)=1-(x-3/2) ?

The answer to 3/4 (3-1/9 x)-1/6 (1-1/3 x)=1-(x-3/2) is x= 3/7

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3/4 (3-1/9 x)-1/6 (1-1/3 x)=1-(x-3/2)

\frac{3}{4} (3 - \frac{1}{9} x) - \frac{1}{6} (1 - \frac{1}{3} x) = 1 - (x - \frac{3}{2})

x = \frac{3}{7}

Decimal Notation

x = 0.42857 \dots

Solution steps

\frac{3}{4} (3 - \frac{1}{9} x) - \frac{1}{6} (1 - \frac{1}{3} x) = 1 - (x - \frac{3}{2})

Expand

\frac{3}{4} (3 - \frac{1}{9} x) - \frac{1}{6} (1 - \frac{1}{3} x) : - \frac{x}{36} + \frac{25}{12}

Expand

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

- \frac{x}{36} + \frac{25}{12} = - x + \frac{5}{2}

Move

\frac{25}{12}

to the right side

- \frac{x}{36} = - x + \frac{5}{12}

Multiply both sides by

36

- x = - 36 x + 15

Move

36 x

to the left side

35 x = 15

Divide both sides by

35

x = \frac{3}{7}

4 x - 2 = x + 7

x, 5 x + 4 y = 22

A, g A + H^{2} A = 8

y = 4 (2) - 3

x, x y + x - 2 y - 1 = 0

What is the answer to 3/4 (3-1/9 x)-1/6 (1-1/3 x)=1-(x-3/2) ?
The answer to 3/4 (3-1/9 x)-1/6 (1-1/3 x)=1-(x-3/2) is x= 3/7
Solve for x: 3/4 (3-1/9 x)-1/6 (1-1/3 x)=1-(x-3/2)
The solution is x= 3/7