6.6(x-2)=-0.4x+42.8

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Solution for 6.6(x-2)=-0.4x+42.8 equation: 


Simplifying
6.6(x + -2) = -0.4x + 42.8

Reorder the terms:
6.6(-2 + x) = -0.4x + 42.8
(-2 * 6.6 + x * 6.6) = -0.4x + 42.8
(-13.2 + 6.6x) = -0.4x + 42.8

Reorder the terms:
-13.2 + 6.6x = 42.8 + -0.4x

Solving
-13.2 + 6.6x = 42.8 + -0.4x

Solving for variable 'x'.

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

Add '0.4x' to each side of the equation.
-13.2 + 6.6x + 0.4x = 42.8 + -0.4x + 0.4x

Combine like terms: 6.6x + 0.4x = 7x
-13.2 + 7x = 42.8 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-13.2 + 7x = 42.8 + 0.0
-13.2 + 7x = 42.8

Add '13.2' to each side of the equation.
-13.2 + 13.2 + 7x = 42.8 + 13.2

Combine like terms: -13.2 + 13.2 = 0.0
0.0 + 7x = 42.8 + 13.2
7x = 42.8 + 13.2

Combine like terms: 42.8 + 13.2 = 56
7x = 56

Divide each side by '7'.
x = 8

Simplifying
x = 8

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