-50.00+x=.8(x+100.00)

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Solution for -50.00+x=.8(x+100.00) equation: 


Simplifying
-50.00 + x = 0.8(x + 100.00)

Reorder the terms:
-50.00 + x = 0.8(100.00 + x)
-50.00 + x = (100.00 * 0.8 + x * 0.8)
-50.00 + x = (80 + 0.8x)

Solving
-50.00 + x = 80 + 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.
-50.00 + x + -0.8x = 80 + 0.8x + -0.8x

Combine like terms: x + -0.8x = 0.2x
-50.00 + 0.2x = 80 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
-50.00 + 0.2x = 80 + 0.0
-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 = 130
0.2x = 130

Divide each side by '0.2'.
x = 650

Simplifying
x = 650

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