What is the answer to 2x-3x-2=6x-3+x ?

The answer to 2x-3x-2=6x-3+x is x= 1/8

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2x-3x-2=6x-3+x

2 x - 3 x - 2 = 6 x - 3 + x

x = \frac{1}{8}

Decimal Notation

x = 0.125

Solution steps

2 x - 3 x - 2 = 6 x - 3 + x

Add similar elements:

2 x - 3 x = - x

- x - 2 = 6 x - 3 + x

Group like terms

- x - 2 = 6 x + x - 3

Add similar elements:

6 x + x = 7 x

- x - 2 = 7 x - 3

Move

2

to the right side

- x = 7 x - 1

Move

7 x

to the left side

- 8 x = - 1

Divide both sides by

- 8

x = \frac{1}{8}

11 x + 16 = 4 x - 5

\frac{5}{2} x + 40 = 500

- \frac{2}{5} (- \frac{21}{8} x + \frac{1}{4}) = \frac{307}{32} - 6 x

\frac{6}{7} = \frac{x}{42}

2 + x = - 2