0.111(x-27)+0.3(x+3)=x-17

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Solution for 0.111(x-27)+0.3(x+3)=x-17 equation: 


Simplifying
0.111(x + -27) + 0.3(x + 3) = x + -17

Reorder the terms:
0.111(-27 + x) + 0.3(x + 3) = x + -17
(-27 * 0.111 + x * 0.111) + 0.3(x + 3) = x + -17
(-2.997 + 0.111x) + 0.3(x + 3) = x + -17

Reorder the terms:
-2.997 + 0.111x + 0.3(3 + x) = x + -17
-2.997 + 0.111x + (3 * 0.3 + x * 0.3) = x + -17
-2.997 + 0.111x + (0.9 + 0.3x) = x + -17

Reorder the terms:
-2.997 + 0.9 + 0.111x + 0.3x = x + -17

Combine like terms: -2.997 + 0.9 = -2.097
-2.097 + 0.111x + 0.3x = x + -17

Combine like terms: 0.111x + 0.3x = 0.411x
-2.097 + 0.411x = x + -17

Reorder the terms:
-2.097 + 0.411x = -17 + x

Solving
-2.097 + 0.411x = -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.
-2.097 + 0.411x + -1x = -17 + x + -1x

Combine like terms: 0.411x + -1x = -0.589x
-2.097 + -0.589x = -17 + x + -1x

Combine like terms: x + -1x = 0
-2.097 + -0.589x = -17 + 0
-2.097 + -0.589x = -17

Add '2.097' to each side of the equation.
-2.097 + 2.097 + -0.589x = -17 + 2.097

Combine like terms: -2.097 + 2.097 = 0.000
0.000 + -0.589x = -17 + 2.097
-0.589x = -17 + 2.097

Combine like terms: -17 + 2.097 = -14.903
-0.589x = -14.903

Divide each side by '-0.589'.
x = 25.30220713

Simplifying
x = 25.30220713

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