0.3(600-2.2x)=3.6(2x-3000)

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Solution for 0.3(600-2.2x)=3.6(2x-3000) equation: 


Simplifying
0.3(600 + -2.2x) = 3.6(2x + -3000)
(600 * 0.3 + -2.2x * 0.3) = 3.6(2x + -3000)
(180 + -0.66x) = 3.6(2x + -3000)

Reorder the terms:
180 + -0.66x = 3.6(-3000 + 2x)
180 + -0.66x = (-3000 * 3.6 + 2x * 3.6)
180 + -0.66x = (-10800 + 7.2x)

Solving
180 + -0.66x = -10800 + 7.2x

Solving for variable 'x'.

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

Add '-7.2x' to each side of the equation.
180 + -0.66x + -7.2x = -10800 + 7.2x + -7.2x

Combine like terms: -0.66x + -7.2x = -7.86x
180 + -7.86x = -10800 + 7.2x + -7.2x

Combine like terms: 7.2x + -7.2x = 0.0
180 + -7.86x = -10800 + 0.0
180 + -7.86x = -10800

Add '-180' to each side of the equation.
180 + -180 + -7.86x = -10800 + -180

Combine like terms: 180 + -180 = 0
0 + -7.86x = -10800 + -180
-7.86x = -10800 + -180

Combine like terms: -10800 + -180 = -10980
-7.86x = -10980

Divide each side by '-7.86'.
x = 1396.946565

Simplifying
x = 1396.946565

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