6.6(x-3)=-0.4x+22.2

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Solution for 6.6(x-3)=-0.4x+22.2 equation: 


Simplifying
6.6(x + -3) = -0.4x + 22.2

Reorder the terms:
6.6(-3 + x) = -0.4x + 22.2
(-3 * 6.6 + x * 6.6) = -0.4x + 22.2
(-19.8 + 6.6x) = -0.4x + 22.2

Reorder the terms:
-19.8 + 6.6x = 22.2 + -0.4x

Solving
-19.8 + 6.6x = 22.2 + -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.
-19.8 + 6.6x + 0.4x = 22.2 + -0.4x + 0.4x

Combine like terms: 6.6x + 0.4x = 7x
-19.8 + 7x = 22.2 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-19.8 + 7x = 22.2 + 0.0
-19.8 + 7x = 22.2

Add '19.8' to each side of the equation.
-19.8 + 19.8 + 7x = 22.2 + 19.8

Combine like terms: -19.8 + 19.8 = 0.0
0.0 + 7x = 22.2 + 19.8
7x = 22.2 + 19.8

Combine like terms: 22.2 + 19.8 = 42
7x = 42

Divide each side by '7'.
x = 6

Simplifying
x = 6

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