What is the answer to x+(3x+2)/2 =(1+x)/4 ?

The answer to x+(3x+2)/2 =(1+x)/4 is x=-1/3

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x+(3x+2)/2 =(1+x)/4

x + \frac{3 x + 2}{2} = \frac{1 + x}{4}

x = - \frac{1}{3}

Decimal Notation

x = - 0.33333 \dots

Solution steps

x + \frac{3 x + 2}{2} = \frac{1 + x}{4}

Multiply by LCM

4 x + 2 (3 x + 2) = 1 + x

Expand

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

4 x + 6 x + 4 = 1 + x

Add similar elements:

4 x + 6 x = 10 x

10 x + 4 = 1 + x

Move

4

to the right side

10 x = x - 3

Move

x

to the left side

9 x = - 3

Divide both sides by

9

x = - \frac{1}{3}

- 5 = \frac{3}{4} t

x, 3 x - y - 6 = 0

x - \frac{8}{3} x = - 10

x, 3 x - y - 2 = 0

5 - 2 (3 - x) = 4 x + 10

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