-5x+(8+3x)2=2(6x+11)-27

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Solution for -5x+(8+3x)2=2(6x+11)-27 equation:


Simplifying
-5x + (8 + 3x) * 2 = 2(6x + 11) + -27

Reorder the terms for easier multiplication:
-5x + 2(8 + 3x) = 2(6x + 11) + -27
-5x + (8 * 2 + 3x * 2) = 2(6x + 11) + -27
-5x + (16 + 6x) = 2(6x + 11) + -27

Reorder the terms:
16 + -5x + 6x = 2(6x + 11) + -27

Combine like terms: -5x + 6x = 1x
16 + 1x = 2(6x + 11) + -27

Reorder the terms:
16 + 1x = 2(11 + 6x) + -27
16 + 1x = (11 * 2 + 6x * 2) + -27
16 + 1x = (22 + 12x) + -27

Reorder the terms:
16 + 1x = 22 + -27 + 12x

Combine like terms: 22 + -27 = -5
16 + 1x = -5 + 12x

Solving
16 + 1x = -5 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
16 + 1x + -12x = -5 + 12x + -12x

Combine like terms: 1x + -12x = -11x
16 + -11x = -5 + 12x + -12x

Combine like terms: 12x + -12x = 0
16 + -11x = -5 + 0
16 + -11x = -5

Add '-16' to each side of the equation.
16 + -16 + -11x = -5 + -16

Combine like terms: 16 + -16 = 0
0 + -11x = -5 + -16
-11x = -5 + -16

Combine like terms: -5 + -16 = -21
-11x = -21

Divide each side by '-11'.
x = 1.909090909

Simplifying
x = 1.909090909

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