0.01(500-30x)=5.4x+200

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Solution for 0.01(500-30x)=5.4x+200 equation: 


Simplifying
0.01(500 + -30x) = 5.4x + 200
(500 * 0.01 + -30x * 0.01) = 5.4x + 200
(5 + -0.3x) = 5.4x + 200

Reorder the terms:
5 + -0.3x = 200 + 5.4x

Solving
5 + -0.3x = 200 + 5.4x

Solving for variable 'x'.

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

Add '-5.4x' to each side of the equation.
5 + -0.3x + -5.4x = 200 + 5.4x + -5.4x

Combine like terms: -0.3x + -5.4x = -5.7x
5 + -5.7x = 200 + 5.4x + -5.4x

Combine like terms: 5.4x + -5.4x = 0.0
5 + -5.7x = 200 + 0.0
5 + -5.7x = 200

Add '-5' to each side of the equation.
5 + -5 + -5.7x = 200 + -5

Combine like terms: 5 + -5 = 0
0 + -5.7x = 200 + -5
-5.7x = 200 + -5

Combine like terms: 200 + -5 = 195
-5.7x = 195

Divide each side by '-5.7'.
x = -34.21052632

Simplifying
x = -34.21052632

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