What is the answer to (3(1-2a))/4-a/6 =(5(a-3))/(12) ?

The answer to (3(1-2a))/4-a/6 =(5(a-3))/(12) is a= 24/25

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(3(1-2a))/4-a/6 =(5(a-3))/(12)

\frac{3 ( 1 - 2 a )}{4} - \frac{a}{6} = \frac{5 ( a - 3 )}{12}

a = \frac{24}{25}

Decimal

a = 0.96

Solution steps

\frac{3 ( 1 - 2 a )}{4} - \frac{a}{6} = \frac{5 ( a - 3 )}{12}

Multiply by LCM

9 (- 2 a + 1) - 2 a = 5 (a - 3)

Expand

9 (- 2 a + 1) - 2 a : - 20 a + 9

Expand

5 (a - 3) : 5 a - 15

- 20 a + 9 = 5 a - 15

Move

9

to the right side

- 20 a = 5 a - 24

Move

5 a

to the left side

- 25 a = - 24

Divide both sides by

- 25

a = \frac{24}{25}

\frac{x}{3} = 30

\frac{x}{3} = 11

8 x + 3 = 20

x, 3 y + 2 x = - 1

4 (x + 9) = 20

What is the answer to (3(1-2a))/4-a/6 =(5(a-3))/(12) ?
The answer to (3(1-2a))/4-a/6 =(5(a-3))/(12) is a= 24/25
Solve for a: (3(1-2a))/4-a/6 =(5(a-3))/(12)
The solution is a= 24/25