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

The answer to 2x+2-3x+6=x-6 is x=7

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

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

x = 7

Solution steps

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

Group like terms

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

Add similar elements:

2 x - 3 x = - x

- x + 2 + 6 = x - 6

Add the numbers:

2 + 6 = 8

- x + 8 = x - 6

Move

8

to the right side

- x = x - 14

Move

x

to the left side

- 2 x = - 14

Divide both sides by

- 2

x = 7

\frac{3 x}{2} = - \frac{12}{7}

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

- \frac{j}{3} - 2 = 0

7 x + 3 x - 18 = 6 (x + 3)

3 x + 8 - 2 (1 - x) = 1