x+0.2(-x+32)=12.8

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Solution for x+0.2(-x+32)=12.8 equation: 


Simplifying
x + 0.2(-1x + 32) = 12.8

Reorder the terms:
x + 0.2(32 + -1x) = 12.8
x + (32 * 0.2 + -1x * 0.2) = 12.8
x + (6.4 + -0.2x) = 12.8

Reorder the terms:
6.4 + x + -0.2x = 12.8

Combine like terms: x + -0.2x = 0.8x
6.4 + 0.8x = 12.8

Solving
6.4 + 0.8x = 12.8

Solving for variable 'x'.

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

Add '-6.4' to each side of the equation.
6.4 + -6.4 + 0.8x = 12.8 + -6.4

Combine like terms: 6.4 + -6.4 = 0.0
0.0 + 0.8x = 12.8 + -6.4
0.8x = 12.8 + -6.4

Combine like terms: 12.8 + -6.4 = 6.4
0.8x = 6.4

Divide each side by '0.8'.
x = 8

Simplifying
x = 8

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