6.6(x-3)=.4x+15.2

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Solution for 6.6(x-3)=.4x+15.2 equation: 


Simplifying
6.6(x + -3) = 0.4x + 15.2

Reorder the terms:
6.6(-3 + x) = 0.4x + 15.2
(-3 * 6.6 + x * 6.6) = 0.4x + 15.2
(-19.8 + 6.6x) = 0.4x + 15.2

Reorder the terms:
-19.8 + 6.6x = 15.2 + 0.4x

Solving
-19.8 + 6.6x = 15.2 + 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 = 15.2 + 0.4x + -0.4x

Combine like terms: 6.6x + -0.4x = 6.2x
-19.8 + 6.2x = 15.2 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
-19.8 + 6.2x = 15.2 + 0.0
-19.8 + 6.2x = 15.2

Add '19.8' to each side of the equation.
-19.8 + 19.8 + 6.2x = 15.2 + 19.8

Combine like terms: -19.8 + 19.8 = 0.0
0.0 + 6.2x = 15.2 + 19.8
6.2x = 15.2 + 19.8

Combine like terms: 15.2 + 19.8 = 35
6.2x = 35

Divide each side by '6.2'.
x = 5.64516129

Simplifying
x = 5.64516129

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