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

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

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

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

x = 5

Solution steps

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

Expand

- 3 (x - 4) : - 3 x + 12

2 x - 3 x + 12 = x + 2

Add similar elements:

2 x - 3 x = - x

- x + 12 = x + 2

Move

12

to the right side

- x = x - 10

Move

x

to the left side

- 2 x = - 10

Divide both sides by

- 2

x = 5

r^{2} = \frac{100}{2 - 3}

4 x^{2} + 56 = 20

5 x^{2} + 40 x + 75 = 0

x^{4} - 1296

x > 2