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

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

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

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

x = - 2

Solution steps

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

Add similar elements:

- 2 x + 7 x = 5 x

1 + 5 x = 3 (2 x + 1)

Expand

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

1 + 5 x = 6 x + 3

Move

1

to the right side

5 x = 6 x + 2

Move

6 x

to the left side

- x = 2

Divide both sides by

- 1

x = - 2

\frac{x}{5} + \frac{x}{7} = 1

a x + b = c (x - a)

5 (3 x - 2) = 5 (4 x + 1)

0 = a + (12.5)

x, 7 x - 4 y = 20