19(11x+5)+3x+20=-17(-8x-7)-8x-18

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Solution for 19(11x+5)+3x+20=-17(-8x-7)-8x-18 equation: 


Simplifying
19(11x + 5) + 3x + 20 = -17(-8x + -7) + -8x + -18

Reorder the terms:
19(5 + 11x) + 3x + 20 = -17(-8x + -7) + -8x + -18
(5 * 19 + 11x * 19) + 3x + 20 = -17(-8x + -7) + -8x + -18
(95 + 209x) + 3x + 20 = -17(-8x + -7) + -8x + -18

Reorder the terms:
95 + 20 + 209x + 3x = -17(-8x + -7) + -8x + -18

Combine like terms: 95 + 20 = 115
115 + 209x + 3x = -17(-8x + -7) + -8x + -18

Combine like terms: 209x + 3x = 212x
115 + 212x = -17(-8x + -7) + -8x + -18

Reorder the terms:
115 + 212x = -17(-7 + -8x) + -8x + -18
115 + 212x = (-7 * -17 + -8x * -17) + -8x + -18
115 + 212x = (119 + 136x) + -8x + -18

Reorder the terms:
115 + 212x = 119 + -18 + 136x + -8x

Combine like terms: 119 + -18 = 101
115 + 212x = 101 + 136x + -8x

Combine like terms: 136x + -8x = 128x
115 + 212x = 101 + 128x

Solving
115 + 212x = 101 + 128x

Solving for variable 'x'.

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

Add '-128x' to each side of the equation.
115 + 212x + -128x = 101 + 128x + -128x

Combine like terms: 212x + -128x = 84x
115 + 84x = 101 + 128x + -128x

Combine like terms: 128x + -128x = 0
115 + 84x = 101 + 0
115 + 84x = 101

Add '-115' to each side of the equation.
115 + -115 + 84x = 101 + -115

Combine like terms: 115 + -115 = 0
0 + 84x = 101 + -115
84x = 101 + -115

Combine like terms: 101 + -115 = -14
84x = -14

Divide each side by '84'.
x = -0.1666666667

Simplifying
x = -0.1666666667

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