5.6(x-2)=-0.4x+36.8

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Solution for 5.6(x-2)=-0.4x+36.8 equation: 


Simplifying
5.6(x + -2) = -0.4x + 36.8

Reorder the terms:
5.6(-2 + x) = -0.4x + 36.8
(-2 * 5.6 + x * 5.6) = -0.4x + 36.8
(-11.2 + 5.6x) = -0.4x + 36.8

Reorder the terms:
-11.2 + 5.6x = 36.8 + -0.4x

Solving
-11.2 + 5.6x = 36.8 + -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.
-11.2 + 5.6x + 0.4x = 36.8 + -0.4x + 0.4x

Combine like terms: 5.6x + 0.4x = 6x
-11.2 + 6x = 36.8 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-11.2 + 6x = 36.8 + 0.0
-11.2 + 6x = 36.8

Add '11.2' to each side of the equation.
-11.2 + 11.2 + 6x = 36.8 + 11.2

Combine like terms: -11.2 + 11.2 = 0.0
0.0 + 6x = 36.8 + 11.2
6x = 36.8 + 11.2

Combine like terms: 36.8 + 11.2 = 48
6x = 48

Divide each side by '6'.
x = 8

Simplifying
x = 8

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