What is the answer to 2-13x=6x+1+x-9 ?

The answer to 2-13x=6x+1+x-9 is x= 1/2

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2-13x=6x+1+x-9

2 - 13 x = 6 x + 1 + x - 9

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

2 - 13 x = 6 x + 1 + x - 9

Group like terms

2 - 13 x = 6 x + x + 1 - 9

Add similar elements:

6 x + x = 7 x

2 - 13 x = 7 x + 1 - 9

Add/Subtract the numbers:

1 - 9 = - 8

2 - 13 x = 7 x - 8

Move

2

to the right side

- 13 x = 7 x - 10

Move

7 x

to the left side

- 20 x = - 10

Divide both sides by

- 20

x = \frac{1}{2}

10 - \frac{3 X + 5}{6} = 3 \frac{11}{12} - \frac{\frac{X}{2}}{\frac{4}{1}}

\frac{3 x + 1}{4} - \frac{2 x - 3}{2} = \frac{1}{8} (x - 2) + \frac{x + 2}{3}

4 - 5 x - 2 x + 20 = x

3 + 5 - x = x

\frac{x - 5}{2} = \frac{x + 2}{3}