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

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

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5/12 x-(4x-3)/6 = 3/4 x

\frac{5}{12} x - \frac{4 x - 3}{6} = \frac{3}{4} x

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

\frac{5}{12} x - \frac{4 x - 3}{6} = \frac{3}{4} x

Multiply by LCM

5 x - 2 (4 x - 3) = 9 x

Expand

- 2 (4 x - 3) : - 8 x + 6

5 x - 8 x + 6 = 9 x

Add similar elements:

5 x - 8 x = - 3 x

- 3 x + 6 = 9 x

Move

6

to the right side

- 3 x = 9 x - 6

Move

9 x

to the left side

- 12 x = - 6

Divide both sides by

- 12

x = \frac{1}{2}

- 40 = - 10 r

2 x = 4 x - 8

- y = - 8

v - 10 = - 3

x = \frac{1}{3} x

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