x-50=0.8x-100

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Solution for x-50=0.8x-100 equation:


Simplifying
x + -50 = 0.8x + -100

Reorder the terms:
-50 + x = 0.8x + -100

Reorder the terms:
-50 + x = -100 + 0.8x

Solving
-50 + x = -100 + 0.8x

Solving for variable 'x'.

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

Add '-0.8x' to each side of the equation.
-50 + x + -0.8x = -100 + 0.8x + -0.8x

Combine like terms: x + -0.8x = 0.2x
-50 + 0.2x = -100 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
-50 + 0.2x = -100 + 0.0
-50 + 0.2x = -100

Add '50' to each side of the equation.
-50 + 50 + 0.2x = -100 + 50

Combine like terms: -50 + 50 = 0
0 + 0.2x = -100 + 50
0.2x = -100 + 50

Combine like terms: -100 + 50 = -50
0.2x = -50

Divide each side by '0.2'.
x = -250

Simplifying
x = -250

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