(3x+2)=(3h+2)2+2(3h+2)-1

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Solution for (3x+2)=(3h+2)2+2(3h+2)-1 equation:


Simplifying
(3x + 2) = (3h + 2) * 2 + 2(3h + 2) + -1

Reorder the terms:
(2 + 3x) = (3h + 2) * 2 + 2(3h + 2) + -1

Remove parenthesis around (2 + 3x)
2 + 3x = (3h + 2) * 2 + 2(3h + 2) + -1

Reorder the terms:
2 + 3x = (2 + 3h) * 2 + 2(3h + 2) + -1

Reorder the terms for easier multiplication:
2 + 3x = 2(2 + 3h) + 2(3h + 2) + -1
2 + 3x = (2 * 2 + 3h * 2) + 2(3h + 2) + -1
2 + 3x = (4 + 6h) + 2(3h + 2) + -1

Reorder the terms:
2 + 3x = 4 + 6h + 2(2 + 3h) + -1
2 + 3x = 4 + 6h + (2 * 2 + 3h * 2) + -1
2 + 3x = 4 + 6h + (4 + 6h) + -1

Reorder the terms:
2 + 3x = 4 + 4 + -1 + 6h + 6h

Combine like terms: 4 + 4 = 8
2 + 3x = 8 + -1 + 6h + 6h

Combine like terms: 8 + -1 = 7
2 + 3x = 7 + 6h + 6h

Combine like terms: 6h + 6h = 12h
2 + 3x = 7 + 12h

Solving
2 + 3x = 7 + 12h

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 3x = 7 + -2 + 12h

Combine like terms: 2 + -2 = 0
0 + 3x = 7 + -2 + 12h
3x = 7 + -2 + 12h

Combine like terms: 7 + -2 = 5
3x = 5 + 12h

Divide each side by '3'.
x = 1.666666667 + 4h

Simplifying
x = 1.666666667 + 4h

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