5.6(x-3)=-0.4x+31.2

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Solution for 5.6(x-3)=-0.4x+31.2 equation: 


Simplifying
5.6(x + -3) = -0.4x + 31.2

Reorder the terms:
5.6(-3 + x) = -0.4x + 31.2
(-3 * 5.6 + x * 5.6) = -0.4x + 31.2
(-16.8 + 5.6x) = -0.4x + 31.2

Reorder the terms:
-16.8 + 5.6x = 31.2 + -0.4x

Solving
-16.8 + 5.6x = 31.2 + -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.
-16.8 + 5.6x + 0.4x = 31.2 + -0.4x + 0.4x

Combine like terms: 5.6x + 0.4x = 6x
-16.8 + 6x = 31.2 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
-16.8 + 6x = 31.2 + 0.0
-16.8 + 6x = 31.2

Add '16.8' to each side of the equation.
-16.8 + 16.8 + 6x = 31.2 + 16.8

Combine like terms: -16.8 + 16.8 = 0.0
0.0 + 6x = 31.2 + 16.8
6x = 31.2 + 16.8

Combine like terms: 31.2 + 16.8 = 48
6x = 48

Divide each side by '6'.
x = 8

Simplifying
x = 8

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