What is the answer to 2x+7=3x-2(3x-1) ?

The answer to 2x+7=3x-2(3x-1) is x=-1

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2x+7=3x-2(3x-1)

2 x + 7 = 3 x - 2 (3 x - 1)

x = - 1

Solution steps

2 x + 7 = 3 x - 2 (3 x - 1)

Expand

- 2 (3 x - 1) : - 6 x + 2

2 x + 7 = 3 x - 6 x + 2

Add similar elements:

3 x - 6 x = - 3 x

2 x + 7 = - 3 x + 2

Move

7

to the right side

2 x = - 3 x - 5

Move

3 x

to the left side

5 x = - 5

Divide both sides by

5

x = - 1

\frac{x}{4} = 25

7 x - 37 = 3 x + 23

- \frac{1}{2} = - \frac{1}{6} + \frac{5}{11} x

y, x = \frac{2}{5} y

x, 5 x + 7 = 5 x + 2 x - 7