-.111(x-27)+.333(x+3)=x-3

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Solution for -.111(x-27)+.333(x+3)=x-3 equation:


Simplifying
-0.111(x + -27) + 0.333(x + 3) = x + -3

Reorder the terms:
-0.111(-27 + x) + 0.333(x + 3) = x + -3
(-27 * -0.111 + x * -0.111) + 0.333(x + 3) = x + -3
(2.997 + -0.111x) + 0.333(x + 3) = x + -3

Reorder the terms:
2.997 + -0.111x + 0.333(3 + x) = x + -3
2.997 + -0.111x + (3 * 0.333 + x * 0.333) = x + -3
2.997 + -0.111x + (0.999 + 0.333x) = x + -3

Reorder the terms:
2.997 + 0.999 + -0.111x + 0.333x = x + -3

Combine like terms: 2.997 + 0.999 = 3.996
3.996 + -0.111x + 0.333x = x + -3

Combine like terms: -0.111x + 0.333x = 0.222x
3.996 + 0.222x = x + -3

Reorder the terms:
3.996 + 0.222x = -3 + x

Solving
3.996 + 0.222x = -3 + 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.
3.996 + 0.222x + -1x = -3 + x + -1x

Combine like terms: 0.222x + -1x = -0.778x
3.996 + -0.778x = -3 + x + -1x

Combine like terms: x + -1x = 0
3.996 + -0.778x = -3 + 0
3.996 + -0.778x = -3

Add '-3.996' to each side of the equation.
3.996 + -3.996 + -0.778x = -3 + -3.996

Combine like terms: 3.996 + -3.996 = 0.000
0.000 + -0.778x = -3 + -3.996
-0.778x = -3 + -3.996

Combine like terms: -3 + -3.996 = -6.996
-0.778x = -6.996

Divide each side by '-0.778'.
x = 8.992287918

Simplifying
x = 8.992287918

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