x+(1.66*x)+(1-0.25*x)+(x-.66)+x=12

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Solution for x+(1.66*x)+(1-0.25*x)+(x-.66)+x=12 equation:


Simplifying
x + (1.66x) + (1 + -0.25x) + (x + -0.66) + x = 12

Remove parenthesis around (1 + -0.25x)
x + (1.66x) + 1 + -0.25x + (x + -0.66) + x = 12

Reorder the terms:
x + (1.66x) + 1 + -0.25x + (-0.66 + x) + x = 12

Remove parenthesis around (-0.66 + x)
x + (1.66x) + 1 + -0.25x + -0.66 + x + x = 12

Reorder the terms:
1 + -0.66 + x + (1.66x) + -0.25x + x + x = 12

Combine like terms: 1 + -0.66 = 0.34
0.34 + x + (1.66x) + -0.25x + x + x = 12

Combine like terms: x + (1.66x) = 2.66x
0.34 + 2.66x + -0.25x + x + x = 12

Combine like terms: 2.66x + -0.25x = 2.41x
0.34 + 2.41x + x + x = 12

Combine like terms: 2.41x + x = 3.41x
0.34 + 3.41x + x = 12

Combine like terms: 3.41x + x = 4.41x
0.34 + 4.41x = 12

Solving
0.34 + 4.41x = 12

Solving for variable 'x'.

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

Add '-0.34' to each side of the equation.
0.34 + -0.34 + 4.41x = 12 + -0.34

Combine like terms: 0.34 + -0.34 = 0.00
0.00 + 4.41x = 12 + -0.34
4.41x = 12 + -0.34

Combine like terms: 12 + -0.34 = 11.66
4.41x = 11.66

Divide each side by '4.41'.
x = 2.64399093

Simplifying
x = 2.64399093

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