(5[x+6])6=3x-2

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


Simplifying
(5[x + 6]) * 6 = 3x + -2

Reorder the terms:
(5[6 + x]) * 6 = 3x + -2
([6 * 5 + x * 5]) * 6 = 3x + -2
([30 + 5x]) * 6 = 3x + -2

Reorder the terms for easier multiplication:
6(30 + 5x) = 3x + -2
(30 * 6 + 5x * 6) = 3x + -2
(180 + 30x) = 3x + -2

Reorder the terms:
180 + 30x = -2 + 3x

Solving
180 + 30x = -2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
180 + 30x + -3x = -2 + 3x + -3x

Combine like terms: 30x + -3x = 27x
180 + 27x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
180 + 27x = -2 + 0
180 + 27x = -2

Add '-180' to each side of the equation.
180 + -180 + 27x = -2 + -180

Combine like terms: 180 + -180 = 0
0 + 27x = -2 + -180
27x = -2 + -180

Combine like terms: -2 + -180 = -182
27x = -182

Divide each side by '27'.
x = -6.740740741

Simplifying
x = -6.740740741

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