What is the answer to 5h-2(3/2 h+4)=10 ?

The answer to 5h-2(3/2 h+4)=10 is h=9

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5h-2(3/2 h+4)=10

5 h - 2 (\frac{3}{2} h + 4) = 10

h = 9

Solution steps

5 h - 2 (\frac{3}{2} h + 4) = 10

Expand

- 2 (\frac{3}{2} h + 4) : - 3 h - 8

5 h - 3 h - 8 = 10

Add similar elements:

5 h - 3 h = 2 h

2 h - 8 = 10

Move

8

to the right side

2 h = 18

Divide both sides by

2

h = 9

4 x + 1 = x - 2

2 x^{2} (3 x - 1) - 5 (3 x - 1) + 6 x - 2

x^{2} - 8 x = 3

3 (2 x - 4) = 9 - 2 (x + 1)

x^{2} = \frac{25}{36}