2(4x+11)-5=3(-2x-2)+8

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Solution for 2(4x+11)-5=3(-2x-2)+8 equation: 


Simplifying
2(4x + 11) + -5 = 3(-2x + -2) + 8

Reorder the terms:
2(11 + 4x) + -5 = 3(-2x + -2) + 8
(11 * 2 + 4x * 2) + -5 = 3(-2x + -2) + 8
(22 + 8x) + -5 = 3(-2x + -2) + 8

Reorder the terms:
22 + -5 + 8x = 3(-2x + -2) + 8

Combine like terms: 22 + -5 = 17
17 + 8x = 3(-2x + -2) + 8

Reorder the terms:
17 + 8x = 3(-2 + -2x) + 8
17 + 8x = (-2 * 3 + -2x * 3) + 8
17 + 8x = (-6 + -6x) + 8

Reorder the terms:
17 + 8x = -6 + 8 + -6x

Combine like terms: -6 + 8 = 2
17 + 8x = 2 + -6x

Solving
17 + 8x = 2 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
17 + 8x + 6x = 2 + -6x + 6x

Combine like terms: 8x + 6x = 14x
17 + 14x = 2 + -6x + 6x

Combine like terms: -6x + 6x = 0
17 + 14x = 2 + 0
17 + 14x = 2

Add '-17' to each side of the equation.
17 + -17 + 14x = 2 + -17

Combine like terms: 17 + -17 = 0
0 + 14x = 2 + -17
14x = 2 + -17

Combine like terms: 2 + -17 = -15
14x = -15

Divide each side by '14'.
x = -1.071428571

Simplifying
x = -1.071428571

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