0.3(400-2.3x)=3.7(3x-5000)

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Solution for 0.3(400-2.3x)=3.7(3x-5000) equation: 


Simplifying
0.3(400 + -2.3x) = 3.7(3x + -5000)
(400 * 0.3 + -2.3x * 0.3) = 3.7(3x + -5000)
(120 + -0.69x) = 3.7(3x + -5000)

Reorder the terms:
120 + -0.69x = 3.7(-5000 + 3x)
120 + -0.69x = (-5000 * 3.7 + 3x * 3.7)
120 + -0.69x = (-18500 + 11.1x)

Solving
120 + -0.69x = -18500 + 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.
120 + -0.69x + -11.1x = -18500 + 11.1x + -11.1x

Combine like terms: -0.69x + -11.1x = -11.79x
120 + -11.79x = -18500 + 11.1x + -11.1x

Combine like terms: 11.1x + -11.1x = 0.0
120 + -11.79x = -18500 + 0.0
120 + -11.79x = -18500

Add '-120' to each side of the equation.
120 + -120 + -11.79x = -18500 + -120

Combine like terms: 120 + -120 = 0
0 + -11.79x = -18500 + -120
-11.79x = -18500 + -120

Combine like terms: -18500 + -120 = -18620
-11.79x = -18620

Divide each side by '-11.79'.
x = 1579.304495

Simplifying
x = 1579.304495

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