What is the answer to 4x-2(3x-7)=2x-6 ?

The answer to 4x-2(3x-7)=2x-6 is x=5

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4x-2(3x-7)=2x-6

4 x - 2 (3 x - 7) = 2 x - 6

x = 5

Solution steps

4 x - 2 (3 x - 7) = 2 x - 6

Expand

- 2 (3 x - 7) : - 6 x + 14

4 x - 6 x + 14 = 2 x - 6

Add similar elements:

4 x - 6 x = - 2 x

- 2 x + 14 = 2 x - 6

Move

14

to the right side

- 2 x = 2 x - 20

Move

2 x

to the left side

- 4 x = - 20

Divide both sides by

- 4

x = 5

2 \cdot x - 6 = 6 \cdot (x + 3)

5 x + 8 + 3 x = 26 + 6 x

2 x + x + x - 10 = 70

12 x + 11 = 26 x - 24

x - 500 = \frac{x + 700}{2}