What is the answer to 5/9 (7-6x)-3/4 (3-15x)= 1/12 (3x-5)-1/2 ?

The answer to 5/9 (7-6x)-3/4 (3-15x)= 1/12 (3x-5)-1/2 is x=-1/3

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5/9 (7-6x)-3/4 (3-15x)= 1/12 (3x-5)-1/2

\frac{5}{9} (7 - 6 x) - \frac{3}{4} (3 - 15 x) = \frac{1}{12} (3 x - 5) - \frac{1}{2}

x = - \frac{1}{3}

Decimal Notation

x = - 0.33333 \dots

Solution steps

\frac{5}{9} (7 - 6 x) - \frac{3}{4} (3 - 15 x) = \frac{1}{12} (3 x - 5) - \frac{1}{2}

Expand

\frac{5}{9} (7 - 6 x) - \frac{3}{4} (3 - 15 x) : \frac{95 x}{12} + \frac{59}{36}

Expand

\frac{1}{12} (3 x - 5) - \frac{1}{2} : - \frac{11}{12} + \frac{1}{4} x

\frac{95 x}{12} + \frac{59}{36} = - \frac{11}{12} + \frac{1}{4} x

Move

\frac{59}{36}

to the right side

\frac{95 x}{12} = - \frac{23}{9} + \frac{1}{4} x

Move

\frac{1}{4} x

to the left side

\frac{23 x}{3} = - \frac{23}{9}

Multiply both sides by

3

23 x = - \frac{23}{3}

Divide both sides by

23

x = - \frac{1}{3}

\frac{2 p + 2 q}{p + q}

- 8 x = 64

\frac{- 4 h}{h ( x + h + 6 ) ( x + 6 )}

\frac{n}{8} = \frac{9}{12}

5 y = 3 y + 6

What is the answer to 5/9 (7-6x)-3/4 (3-15x)= 1/12 (3x-5)-1/2 ?
The answer to 5/9 (7-6x)-3/4 (3-15x)= 1/12 (3x-5)-1/2 is x=-1/3
Solve for x: 5/9 (7-6x)-3/4 (3-15x)= 1/12 (3x-5)-1/2
The solution is x=-1/3