1.00x-50.00=0.80(x-100.00)

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Solution for 1.00x-50.00=0.80(x-100.00) equation: 


Simplifying
1.00x + -50.00 = 0.80(x + -100.00)

Reorder the terms:
-50.00 + 1.00x = 0.80(x + -100.00)

Reorder the terms:
-50.00 + 1.00x = 0.80(-100.00 + x)
-50.00 + 1.00x = (-100.00 * 0.80 + x * 0.80)
-50.00 + 1.00x = (-80 + 0.80x)

Solving
-50.00 + 1.00x = -80 + 0.80x

Solving for variable 'x'.

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

Add '-0.80x' to each side of the equation.
-50.00 + 1.00x + -0.80x = -80 + 0.80x + -0.80x

Combine like terms: 1.00x + -0.80x = 0.2x
-50.00 + 0.2x = -80 + 0.80x + -0.80x

Combine like terms: 0.80x + -0.80x = 0.00
-50.00 + 0.2x = -80 + 0.00
-50.00 + 0.2x = -80

Add '50.00' to each side of the equation.
-50.00 + 50.00 + 0.2x = -80 + 50.00

Combine like terms: -50.00 + 50.00 = 0.00
0.00 + 0.2x = -80 + 50.00
0.2x = -80 + 50.00

Combine like terms: -80 + 50.00 = -30
0.2x = -30

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

Simplifying
x = -150

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