.111111(x-27)+.3333333(x+3)=x-59

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Solution for .111111(x-27)+.3333333(x+3)=x-59 equation: 


Simplifying
0.111111(x + -27) + 0.3333333(x + 3) = x + -59

Reorder the terms:
0.111111(-27 + x) + 0.3333333(x + 3) = x + -59
(-27 * 0.111111 + x * 0.111111) + 0.3333333(x + 3) = x + -59
(-2.999997 + 0.111111x) + 0.3333333(x + 3) = x + -59

Reorder the terms:
-2.999997 + 0.111111x + 0.3333333(3 + x) = x + -59
-2.999997 + 0.111111x + (3 * 0.3333333 + x * 0.3333333) = x + -59
-2.999997 + 0.111111x + (0.9999999 + 0.3333333x) = x + -59

Reorder the terms:
-2.999997 + 0.9999999 + 0.111111x + 0.3333333x = x + -59

Combine like terms: -2.999997 + 0.9999999 = -1.9999971
-1.9999971 + 0.111111x + 0.3333333x = x + -59

Combine like terms: 0.111111x + 0.3333333x = 0.4444443x
-1.9999971 + 0.4444443x = x + -59

Reorder the terms:
-1.9999971 + 0.4444443x = -59 + x

Solving
-1.9999971 + 0.4444443x = -59 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-1.9999971 + 0.4444443x + -1x = -59 + x + -1x

Combine like terms: 0.4444443x + -1x = -0.5555557x
-1.9999971 + -0.5555557x = -59 + x + -1x

Combine like terms: x + -1x = 0
-1.9999971 + -0.5555557x = -59 + 0
-1.9999971 + -0.5555557x = -59

Add '1.9999971' to each side of the equation.
-1.9999971 + 1.9999971 + -0.5555557x = -59 + 1.9999971

Combine like terms: -1.9999971 + 1.9999971 = 0.0000000
0.0000000 + -0.5555557x = -59 + 1.9999971
-0.5555557x = -59 + 1.9999971

Combine like terms: -59 + 1.9999971 = -57.0000029
-0.5555557x = -57.0000029

Divide each side by '-0.5555557'.
x = 102.5999785

Simplifying
x = 102.5999785

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