1-(0.5x-15.8)=12.8-0.7x

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Solution for 1-(0.5x-15.8)=12.8-0.7x equation: 


Simplifying
1 + -1(0.5x + -15.8) = 12.8 + -0.7x

Reorder the terms:
1 + -1(-15.8 + 0.5x) = 12.8 + -0.7x
1 + (-15.8 * -1 + 0.5x * -1) = 12.8 + -0.7x
1 + (15.8 + -0.5x) = 12.8 + -0.7x

Combine like terms: 1 + 15.8 = 16.8
16.8 + -0.5x = 12.8 + -0.7x

Solving
16.8 + -0.5x = 12.8 + -0.7x

Solving for variable 'x'.

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

Add '0.7x' to each side of the equation.
16.8 + -0.5x + 0.7x = 12.8 + -0.7x + 0.7x

Combine like terms: -0.5x + 0.7x = 0.2x
16.8 + 0.2x = 12.8 + -0.7x + 0.7x

Combine like terms: -0.7x + 0.7x = 0.0
16.8 + 0.2x = 12.8 + 0.0
16.8 + 0.2x = 12.8

Add '-16.8' to each side of the equation.
16.8 + -16.8 + 0.2x = 12.8 + -16.8

Combine like terms: 16.8 + -16.8 = 0.0
0.0 + 0.2x = 12.8 + -16.8
0.2x = 12.8 + -16.8

Combine like terms: 12.8 + -16.8 = -4
0.2x = -4

Divide each side by '0.2'.
x = -20

Simplifying
x = -20

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