6(6x+12)=1.7-(x+2)

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Solution for 6(6x+12)=1.7-(x+2) equation:


Simplifying
6(6x + 12) = 1.7 + -1(x + 2)

Reorder the terms:
6(12 + 6x) = 1.7 + -1(x + 2)
(12 * 6 + 6x * 6) = 1.7 + -1(x + 2)
(72 + 36x) = 1.7 + -1(x + 2)

Reorder the terms:
72 + 36x = 1.7 + -1(2 + x)
72 + 36x = 1.7 + (2 * -1 + x * -1)
72 + 36x = 1.7 + (-2 + -1x)

Combine like terms: 1.7 + -2 = -0.3
72 + 36x = -0.3 + -1x

Solving
72 + 36x = -0.3 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
72 + 36x + x = -0.3 + -1x + x

Combine like terms: 36x + x = 37x
72 + 37x = -0.3 + -1x + x

Combine like terms: -1x + x = 0
72 + 37x = -0.3 + 0
72 + 37x = -0.3

Add '-72' to each side of the equation.
72 + -72 + 37x = -0.3 + -72

Combine like terms: 72 + -72 = 0
0 + 37x = -0.3 + -72
37x = -0.3 + -72

Combine like terms: -0.3 + -72 = -72.3
37x = -72.3

Divide each side by '37'.
x = -1.954054054

Simplifying
x = -1.954054054

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