(3x+12)3-1=(4x+16)2

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Solution for (3x+12)3-1=(4x+16)2 equation:


Simplifying
(3x + 12) * 3 + -1 = (4x + 16) * 2

Reorder the terms:
(12 + 3x) * 3 + -1 = (4x + 16) * 2

Reorder the terms for easier multiplication:
3(12 + 3x) + -1 = (4x + 16) * 2
(12 * 3 + 3x * 3) + -1 = (4x + 16) * 2
(36 + 9x) + -1 = (4x + 16) * 2

Reorder the terms:
36 + -1 + 9x = (4x + 16) * 2

Combine like terms: 36 + -1 = 35
35 + 9x = (4x + 16) * 2

Reorder the terms:
35 + 9x = (16 + 4x) * 2

Reorder the terms for easier multiplication:
35 + 9x = 2(16 + 4x)
35 + 9x = (16 * 2 + 4x * 2)
35 + 9x = (32 + 8x)

Solving
35 + 9x = 32 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
35 + 9x + -8x = 32 + 8x + -8x

Combine like terms: 9x + -8x = 1x
35 + 1x = 32 + 8x + -8x

Combine like terms: 8x + -8x = 0
35 + 1x = 32 + 0
35 + 1x = 32

Add '-35' to each side of the equation.
35 + -35 + 1x = 32 + -35

Combine like terms: 35 + -35 = 0
0 + 1x = 32 + -35
1x = 32 + -35

Combine like terms: 32 + -35 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3

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