100x+30=200x-20

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Solution for 100x+30=200x-20 equation: 


Simplifying
100x + 30 = 200x + -20

Reorder the terms:
30 + 100x = 200x + -20

Reorder the terms:
30 + 100x = -20 + 200x

Solving
30 + 100x = -20 + 200x

Solving for variable 'x'.

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

Add '-200x' to each side of the equation.
30 + 100x + -200x = -20 + 200x + -200x

Combine like terms: 100x + -200x = -100x
30 + -100x = -20 + 200x + -200x

Combine like terms: 200x + -200x = 0
30 + -100x = -20 + 0
30 + -100x = -20

Add '-30' to each side of the equation.
30 + -30 + -100x = -20 + -30

Combine like terms: 30 + -30 = 0
0 + -100x = -20 + -30
-100x = -20 + -30

Combine like terms: -20 + -30 = -50
-100x = -50

Divide each side by '-100'.
x = 0.5

Simplifying
x = 0.5

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