-0.11(x-27)+0.33(x+3)=x-11

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Solution for -0.11(x-27)+0.33(x+3)=x-11 equation: 


Simplifying
-0.11(x + -27) + 0.33(x + 3) = x + -11

Reorder the terms:
-0.11(-27 + x) + 0.33(x + 3) = x + -11
(-27 * -0.11 + x * -0.11) + 0.33(x + 3) = x + -11
(2.97 + -0.11x) + 0.33(x + 3) = x + -11

Reorder the terms:
2.97 + -0.11x + 0.33(3 + x) = x + -11
2.97 + -0.11x + (3 * 0.33 + x * 0.33) = x + -11
2.97 + -0.11x + (0.99 + 0.33x) = x + -11

Reorder the terms:
2.97 + 0.99 + -0.11x + 0.33x = x + -11

Combine like terms: 2.97 + 0.99 = 3.96
3.96 + -0.11x + 0.33x = x + -11

Combine like terms: -0.11x + 0.33x = 0.22x
3.96 + 0.22x = x + -11

Reorder the terms:
3.96 + 0.22x = -11 + x

Solving
3.96 + 0.22x = -11 + 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.
3.96 + 0.22x + -1x = -11 + x + -1x

Combine like terms: 0.22x + -1x = -0.78x
3.96 + -0.78x = -11 + x + -1x

Combine like terms: x + -1x = 0
3.96 + -0.78x = -11 + 0
3.96 + -0.78x = -11

Add '-3.96' to each side of the equation.
3.96 + -3.96 + -0.78x = -11 + -3.96

Combine like terms: 3.96 + -3.96 = 0.00
0.00 + -0.78x = -11 + -3.96
-0.78x = -11 + -3.96

Combine like terms: -11 + -3.96 = -14.96
-0.78x = -14.96

Divide each side by '-0.78'.
x = 19.17948718

Simplifying
x = 19.17948718

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