0.27x+8.11=1.08(x-2)-1.96x

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Solution for 0.27x+8.11=1.08(x-2)-1.96x equation: 


Simplifying
0.27x + 8.11 = 1.08(x + -2) + -1.96x

Reorder the terms:
8.11 + 0.27x = 1.08(x + -2) + -1.96x

Reorder the terms:
8.11 + 0.27x = 1.08(-2 + x) + -1.96x
8.11 + 0.27x = (-2 * 1.08 + x * 1.08) + -1.96x
8.11 + 0.27x = (-2.16 + 1.08x) + -1.96x

Combine like terms: 1.08x + -1.96x = -0.88x
8.11 + 0.27x = -2.16 + -0.88x

Solving
8.11 + 0.27x = -2.16 + -0.88x

Solving for variable 'x'.

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

Add '0.88x' to each side of the equation.
8.11 + 0.27x + 0.88x = -2.16 + -0.88x + 0.88x

Combine like terms: 0.27x + 0.88x = 1.15x
8.11 + 1.15x = -2.16 + -0.88x + 0.88x

Combine like terms: -0.88x + 0.88x = 0.00
8.11 + 1.15x = -2.16 + 0.00
8.11 + 1.15x = -2.16

Add '-8.11' to each side of the equation.
8.11 + -8.11 + 1.15x = -2.16 + -8.11

Combine like terms: 8.11 + -8.11 = 0.00
0.00 + 1.15x = -2.16 + -8.11
1.15x = -2.16 + -8.11

Combine like terms: -2.16 + -8.11 = -10.27
1.15x = -10.27

Divide each side by '1.15'.
x = -8.930434783

Simplifying
x = -8.930434783

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