0.3(6000-2.2x)=3.6(2x-3000)

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Solution for 0.3(6000-2.2x)=3.6(2x-3000) equation: 


Simplifying
0.3(6000 + -2.2x) = 3.6(2x + -3000)
(6000 * 0.3 + -2.2x * 0.3) = 3.6(2x + -3000)
(1800 + -0.66x) = 3.6(2x + -3000)

Reorder the terms:
1800 + -0.66x = 3.6(-3000 + 2x)
1800 + -0.66x = (-3000 * 3.6 + 2x * 3.6)
1800 + -0.66x = (-10800 + 7.2x)

Solving
1800 + -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.
1800 + -0.66x + -7.2x = -10800 + 7.2x + -7.2x

Combine like terms: -0.66x + -7.2x = -7.86x
1800 + -7.86x = -10800 + 7.2x + -7.2x

Combine like terms: 7.2x + -7.2x = 0.0
1800 + -7.86x = -10800 + 0.0
1800 + -7.86x = -10800

Add '-1800' to each side of the equation.
1800 + -1800 + -7.86x = -10800 + -1800

Combine like terms: 1800 + -1800 = 0
0 + -7.86x = -10800 + -1800
-7.86x = -10800 + -1800

Combine like terms: -10800 + -1800 = -12600
-7.86x = -12600

Divide each side by '-7.86'.
x = 1603.053435

Simplifying
x = 1603.053435

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