.1(6.6-2.5x)=-21.2+3.8x

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Solution for .1(6.6-2.5x)=-21.2+3.8x equation: 


Simplifying
0.1(6.6 + -2.5x) = -21.2 + 3.8x
(6.6 * 0.1 + -2.5x * 0.1) = -21.2 + 3.8x
(0.66 + -0.25x) = -21.2 + 3.8x

Solving
0.66 + -0.25x = -21.2 + 3.8x

Solving for variable 'x'.

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

Add '-3.8x' to each side of the equation.
0.66 + -0.25x + -3.8x = -21.2 + 3.8x + -3.8x

Combine like terms: -0.25x + -3.8x = -4.05x
0.66 + -4.05x = -21.2 + 3.8x + -3.8x

Combine like terms: 3.8x + -3.8x = 0.0
0.66 + -4.05x = -21.2 + 0.0
0.66 + -4.05x = -21.2

Add '-0.66' to each side of the equation.
0.66 + -0.66 + -4.05x = -21.2 + -0.66

Combine like terms: 0.66 + -0.66 = 0.00
0.00 + -4.05x = -21.2 + -0.66
-4.05x = -21.2 + -0.66

Combine like terms: -21.2 + -0.66 = -21.86
-4.05x = -21.86

Divide each side by '-4.05'.
x = 5.397530864

Simplifying
x = 5.397530864

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