3[2h-6]=2[2(3-h)-5]

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Solution for 3[2h-6]=2[2(3-h)-5] equation:


Simplifying
3[2h + -6] = 2[2(3 + -1h) + -5]

Reorder the terms:
3[-6 + 2h] = 2[2(3 + -1h) + -5]
[-6 * 3 + 2h * 3] = 2[2(3 + -1h) + -5]
[-18 + 6h] = 2[2(3 + -1h) + -5]
-18 + 6h = 2[(3 * 2 + -1h * 2) + -5]
-18 + 6h = 2[(6 + -2h) + -5]

Reorder the terms:
-18 + 6h = 2[6 + -5 + -2h]

Combine like terms: 6 + -5 = 1
-18 + 6h = 2[1 + -2h]
-18 + 6h = [1 * 2 + -2h * 2]
-18 + 6h = [2 + -4h]

Solving
-18 + 6h = 2 + -4h

Solving for variable 'h'.

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

Add '4h' to each side of the equation.
-18 + 6h + 4h = 2 + -4h + 4h

Combine like terms: 6h + 4h = 10h
-18 + 10h = 2 + -4h + 4h

Combine like terms: -4h + 4h = 0
-18 + 10h = 2 + 0
-18 + 10h = 2

Add '18' to each side of the equation.
-18 + 18 + 10h = 2 + 18

Combine like terms: -18 + 18 = 0
0 + 10h = 2 + 18
10h = 2 + 18

Combine like terms: 2 + 18 = 20
10h = 20

Divide each side by '10'.
h = 2

Simplifying
h = 2

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