0.66(6x-5)=2-0.33(3x-2)

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Solution for 0.66(6x-5)=2-0.33(3x-2) equation: 


Simplifying
0.66(6x + -5) = 2 + -0.33(3x + -2)

Reorder the terms:
0.66(-5 + 6x) = 2 + -0.33(3x + -2)
(-5 * 0.66 + 6x * 0.66) = 2 + -0.33(3x + -2)
(-3.3 + 3.96x) = 2 + -0.33(3x + -2)

Reorder the terms:
-3.3 + 3.96x = 2 + -0.33(-2 + 3x)
-3.3 + 3.96x = 2 + (-2 * -0.33 + 3x * -0.33)
-3.3 + 3.96x = 2 + (0.66 + -0.99x)

Combine like terms: 2 + 0.66 = 2.66
-3.3 + 3.96x = 2.66 + -0.99x

Solving
-3.3 + 3.96x = 2.66 + -0.99x

Solving for variable 'x'.

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

Add '0.99x' to each side of the equation.
-3.3 + 3.96x + 0.99x = 2.66 + -0.99x + 0.99x

Combine like terms: 3.96x + 0.99x = 4.95x
-3.3 + 4.95x = 2.66 + -0.99x + 0.99x

Combine like terms: -0.99x + 0.99x = 0.00
-3.3 + 4.95x = 2.66 + 0.00
-3.3 + 4.95x = 2.66

Add '3.3' to each side of the equation.
-3.3 + 3.3 + 4.95x = 2.66 + 3.3

Combine like terms: -3.3 + 3.3 = 0.0
0.0 + 4.95x = 2.66 + 3.3
4.95x = 2.66 + 3.3

Combine like terms: 2.66 + 3.3 = 5.96
4.95x = 5.96

Divide each side by '4.95'.
x = 1.204040404

Simplifying
x = 1.204040404

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