c-50=.8(c-100)

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Solution for c-50=.8(c-100) equation: 


Simplifying
c + -50 = 0.8(c + -100)

Reorder the terms:
-50 + c = 0.8(c + -100)

Reorder the terms:
-50 + c = 0.8(-100 + c)
-50 + c = (-100 * 0.8 + c * 0.8)
-50 + c = (-80 + 0.8c)

Solving
-50 + c = -80 + 0.8c

Solving for variable 'c'.

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

Add '-0.8c' to each side of the equation.
-50 + c + -0.8c = -80 + 0.8c + -0.8c

Combine like terms: c + -0.8c = 0.2c
-50 + 0.2c = -80 + 0.8c + -0.8c

Combine like terms: 0.8c + -0.8c = 0.0
-50 + 0.2c = -80 + 0.0
-50 + 0.2c = -80

Add '50' to each side of the equation.
-50 + 50 + 0.2c = -80 + 50

Combine like terms: -50 + 50 = 0
0 + 0.2c = -80 + 50
0.2c = -80 + 50

Combine like terms: -80 + 50 = -30
0.2c = -30

Divide each side by '0.2'.
c = -150

Simplifying
c = -150

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