0.4(X+200)=0.47X-424

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Solution for 0.4(X+200)=0.47X-424 equation: 


Simplifying
0.4(X + 200) = 0.47X + -424

Reorder the terms:
0.4(200 + X) = 0.47X + -424
(200 * 0.4 + X * 0.4) = 0.47X + -424
(80 + 0.4X) = 0.47X + -424

Reorder the terms:
80 + 0.4X = -424 + 0.47X

Solving
80 + 0.4X = -424 + 0.47X

Solving for variable 'X'.

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

Add '-0.47X' to each side of the equation.
80 + 0.4X + -0.47X = -424 + 0.47X + -0.47X

Combine like terms: 0.4X + -0.47X = -0.07X
80 + -0.07X = -424 + 0.47X + -0.47X

Combine like terms: 0.47X + -0.47X = 0.00
80 + -0.07X = -424 + 0.00
80 + -0.07X = -424

Add '-80' to each side of the equation.
80 + -80 + -0.07X = -424 + -80

Combine like terms: 80 + -80 = 0
0 + -0.07X = -424 + -80
-0.07X = -424 + -80

Combine like terms: -424 + -80 = -504
-0.07X = -504

Divide each side by '-0.07'.
X = 7200

Simplifying
X = 7200

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