2[3(2h+3)-(3-h)]=5(3+2h)-1-2h

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Solution for 2[3(2h+3)-(3-h)]=5(3+2h)-1-2h equation: 


Simplifying
2[3(2h + 3) + -1(3 + -1h)] = 5(3 + 2h) + -1 + -2h

Reorder the terms:
2[3(3 + 2h) + -1(3 + -1h)] = 5(3 + 2h) + -1 + -2h
2[(3 * 3 + 2h * 3) + -1(3 + -1h)] = 5(3 + 2h) + -1 + -2h
2[(9 + 6h) + -1(3 + -1h)] = 5(3 + 2h) + -1 + -2h
2[9 + 6h + (3 * -1 + -1h * -1)] = 5(3 + 2h) + -1 + -2h
2[9 + 6h + (-3 + 1h)] = 5(3 + 2h) + -1 + -2h

Reorder the terms:
2[9 + -3 + 6h + 1h] = 5(3 + 2h) + -1 + -2h

Combine like terms: 9 + -3 = 6
2[6 + 6h + 1h] = 5(3 + 2h) + -1 + -2h

Combine like terms: 6h + 1h = 7h
2[6 + 7h] = 5(3 + 2h) + -1 + -2h
[6 * 2 + 7h * 2] = 5(3 + 2h) + -1 + -2h
[12 + 14h] = 5(3 + 2h) + -1 + -2h
12 + 14h = (3 * 5 + 2h * 5) + -1 + -2h
12 + 14h = (15 + 10h) + -1 + -2h

Reorder the terms:
12 + 14h = 15 + -1 + 10h + -2h

Combine like terms: 15 + -1 = 14
12 + 14h = 14 + 10h + -2h

Combine like terms: 10h + -2h = 8h
12 + 14h = 14 + 8h

Solving
12 + 14h = 14 + 8h

Solving for variable 'h'.

Move all terms containing h to the left, all other terms to the right.

Add '-8h' to each side of the equation.
12 + 14h + -8h = 14 + 8h + -8h

Combine like terms: 14h + -8h = 6h
12 + 6h = 14 + 8h + -8h

Combine like terms: 8h + -8h = 0
12 + 6h = 14 + 0
12 + 6h = 14

Add '-12' to each side of the equation.
12 + -12 + 6h = 14 + -12

Combine like terms: 12 + -12 = 0
0 + 6h = 14 + -12
6h = 14 + -12

Combine like terms: 14 + -12 = 2
6h = 2

Divide each side by '6'.
h = 0.3333333333

Simplifying
h = 0.3333333333

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