0.5(500-2.2x)=3.7(3x-3000)

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Solution for 0.5(500-2.2x)=3.7(3x-3000) equation: 


Simplifying
0.5(500 + -2.2x) = 3.7(3x + -3000)
(500 * 0.5 + -2.2x * 0.5) = 3.7(3x + -3000)
(250 + -1.1x) = 3.7(3x + -3000)

Reorder the terms:
250 + -1.1x = 3.7(-3000 + 3x)
250 + -1.1x = (-3000 * 3.7 + 3x * 3.7)
250 + -1.1x = (-11100 + 11.1x)

Solving
250 + -1.1x = -11100 + 11.1x

Solving for variable 'x'.

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

Add '-11.1x' to each side of the equation.
250 + -1.1x + -11.1x = -11100 + 11.1x + -11.1x

Combine like terms: -1.1x + -11.1x = -12.2x
250 + -12.2x = -11100 + 11.1x + -11.1x

Combine like terms: 11.1x + -11.1x = 0.0
250 + -12.2x = -11100 + 0.0
250 + -12.2x = -11100

Add '-250' to each side of the equation.
250 + -250 + -12.2x = -11100 + -250

Combine like terms: 250 + -250 = 0
0 + -12.2x = -11100 + -250
-12.2x = -11100 + -250

Combine like terms: -11100 + -250 = -11350
-12.2x = -11350

Divide each side by '-12.2'.
x = 930.3278689

Simplifying
x = 930.3278689

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