(-12x+30)+(-17x-4)=360-75-27

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Solution for (-12x+30)+(-17x-4)=360-75-27 equation: 


Simplifying
(-12x + 30) + (-17x + -4) = 360 + -75 + -27

Reorder the terms:
(30 + -12x) + (-17x + -4) = 360 + -75 + -27

Remove parenthesis around (30 + -12x)
30 + -12x + (-17x + -4) = 360 + -75 + -27

Reorder the terms:
30 + -12x + (-4 + -17x) = 360 + -75 + -27

Remove parenthesis around (-4 + -17x)
30 + -12x + -4 + -17x = 360 + -75 + -27

Reorder the terms:
30 + -4 + -12x + -17x = 360 + -75 + -27

Combine like terms: 30 + -4 = 26
26 + -12x + -17x = 360 + -75 + -27

Combine like terms: -12x + -17x = -29x
26 + -29x = 360 + -75 + -27

Combine like terms: 360 + -75 = 285
26 + -29x = 285 + -27

Combine like terms: 285 + -27 = 258
26 + -29x = 258

Solving
26 + -29x = 258

Solving for variable 'x'.

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

Add '-26' to each side of the equation.
26 + -26 + -29x = 258 + -26

Combine like terms: 26 + -26 = 0
0 + -29x = 258 + -26
-29x = 258 + -26

Combine like terms: 258 + -26 = 232
-29x = 232

Divide each side by '-29'.
x = -8

Simplifying
x = -8

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