5.8(x-4)=-.2x+12.8

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Solution for 5.8(x-4)=-.2x+12.8 equation: 


Simplifying
5.8(x + -4) = -0.2x + 12.8

Reorder the terms:
5.8(-4 + x) = -0.2x + 12.8
(-4 * 5.8 + x * 5.8) = -0.2x + 12.8
(-23.2 + 5.8x) = -0.2x + 12.8

Reorder the terms:
-23.2 + 5.8x = 12.8 + -0.2x

Solving
-23.2 + 5.8x = 12.8 + -0.2x

Solving for variable 'x'.

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

Add '0.2x' to each side of the equation.
-23.2 + 5.8x + 0.2x = 12.8 + -0.2x + 0.2x

Combine like terms: 5.8x + 0.2x = 6x
-23.2 + 6x = 12.8 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
-23.2 + 6x = 12.8 + 0.0
-23.2 + 6x = 12.8

Add '23.2' to each side of the equation.
-23.2 + 23.2 + 6x = 12.8 + 23.2

Combine like terms: -23.2 + 23.2 = 0.0
0.0 + 6x = 12.8 + 23.2
6x = 12.8 + 23.2

Combine like terms: 12.8 + 23.2 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6

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