5x-2=400x-100

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Solution for 5x-2=400x-100 equation:


Simplifying
5x + -2 = 400x + -100

Reorder the terms:
-2 + 5x = 400x + -100

Reorder the terms:
-2 + 5x = -100 + 400x

Solving
-2 + 5x = -100 + 400x

Solving for variable 'x'.

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

Add '-400x' to each side of the equation.
-2 + 5x + -400x = -100 + 400x + -400x

Combine like terms: 5x + -400x = -395x
-2 + -395x = -100 + 400x + -400x

Combine like terms: 400x + -400x = 0
-2 + -395x = -100 + 0
-2 + -395x = -100

Add '2' to each side of the equation.
-2 + 2 + -395x = -100 + 2

Combine like terms: -2 + 2 = 0
0 + -395x = -100 + 2
-395x = -100 + 2

Combine like terms: -100 + 2 = -98
-395x = -98

Divide each side by '-395'.
x = 0.2481012658

Simplifying
x = 0.2481012658

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