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

The answer to x/4+(3x-2)/2 =(x-3)/2 is x=-2/5

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

\frac{x}{4} + \frac{3 x - 2}{2} = \frac{x - 3}{2}

x = - \frac{2}{5}

Decimal Notation

x = - 0.4

Solution steps

\frac{x}{4} + \frac{3 x - 2}{2} = \frac{x - 3}{2}

Multiply by LCM

x + 2 (3 x - 2) = 2 (x - 3)

Expand

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

x + 6 x - 4 = 2 (x - 3)

Add similar elements:

x + 6 x = 7 x

7 x - 4 = 2 (x - 3)

Expand

2 (x - 3) : 2 x - 6

7 x - 4 = 2 x - 6

Move

4

to the right side

7 x = 2 x - 2

Move

2 x

to the left side

5 x = - 2

Divide both sides by

5

x = - \frac{2}{5}

21 - (3 - 3 x) = 45

2 m + 12 = - 5

3 (4 x - 3) = 27

5 = - \frac{y}{4}

2 (0 - 6) = - 12 + 20

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