.80(x-100)=x-50

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Solution for .80(x-100)=x-50 equation: 


Simplifying
0.80(x + -100) = x + -50

Reorder the terms:
0.80(-100 + x) = x + -50
(-100 * 0.80 + x * 0.80) = x + -50
(-80 + 0.80x) = x + -50

Reorder the terms:
-80 + 0.80x = -50 + x

Solving
-80 + 0.80x = -50 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-80 + 0.80x + -1x = -50 + x + -1x

Combine like terms: 0.80x + -1x = -0.2x
-80 + -0.2x = -50 + x + -1x

Combine like terms: x + -1x = 0
-80 + -0.2x = -50 + 0
-80 + -0.2x = -50

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

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

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

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

Simplifying
x = -150

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