-.11111(x-27)+.33333(x+3)=x-17

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Solution for -.11111(x-27)+.33333(x+3)=x-17 equation: 


Simplifying
-0.11111(x + -27) + 0.33333(x + 3) = x + -17

Reorder the terms:
-0.11111(-27 + x) + 0.33333(x + 3) = x + -17
(-27 * -0.11111 + x * -0.11111) + 0.33333(x + 3) = x + -17
(2.99997 + -0.11111x) + 0.33333(x + 3) = x + -17

Reorder the terms:
2.99997 + -0.11111x + 0.33333(3 + x) = x + -17
2.99997 + -0.11111x + (3 * 0.33333 + x * 0.33333) = x + -17
2.99997 + -0.11111x + (0.99999 + 0.33333x) = x + -17

Reorder the terms:
2.99997 + 0.99999 + -0.11111x + 0.33333x = x + -17

Combine like terms: 2.99997 + 0.99999 = 3.99996
3.99996 + -0.11111x + 0.33333x = x + -17

Combine like terms: -0.11111x + 0.33333x = 0.22222x
3.99996 + 0.22222x = x + -17

Reorder the terms:
3.99996 + 0.22222x = -17 + x

Solving
3.99996 + 0.22222x = -17 + 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.
3.99996 + 0.22222x + -1x = -17 + x + -1x

Combine like terms: 0.22222x + -1x = -0.77778x
3.99996 + -0.77778x = -17 + x + -1x

Combine like terms: x + -1x = 0
3.99996 + -0.77778x = -17 + 0
3.99996 + -0.77778x = -17

Add '-3.99996' to each side of the equation.
3.99996 + -3.99996 + -0.77778x = -17 + -3.99996

Combine like terms: 3.99996 + -3.99996 = 0.00000
0.00000 + -0.77778x = -17 + -3.99996
-0.77778x = -17 + -3.99996

Combine like terms: -17 + -3.99996 = -20.99996
-0.77778x = -20.99996

Divide each side by '-0.77778'.
x = 26.99987143

Simplifying
x = 26.99987143

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