0.6(400-2.2x)=3.7(4x-5000)

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Solution for 0.6(400-2.2x)=3.7(4x-5000) equation:


Simplifying
0.6(400 + -2.2x) = 3.7(4x + -5000)
(400 * 0.6 + -2.2x * 0.6) = 3.7(4x + -5000)
(240 + -1.32x) = 3.7(4x + -5000)

Reorder the terms:
240 + -1.32x = 3.7(-5000 + 4x)
240 + -1.32x = (-5000 * 3.7 + 4x * 3.7)
240 + -1.32x = (-18500 + 14.8x)

Solving
240 + -1.32x = -18500 + 14.8x

Solving for variable 'x'.

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

Add '-14.8x' to each side of the equation.
240 + -1.32x + -14.8x = -18500 + 14.8x + -14.8x

Combine like terms: -1.32x + -14.8x = -16.12x
240 + -16.12x = -18500 + 14.8x + -14.8x

Combine like terms: 14.8x + -14.8x = 0.0
240 + -16.12x = -18500 + 0.0
240 + -16.12x = -18500

Add '-240' to each side of the equation.
240 + -240 + -16.12x = -18500 + -240

Combine like terms: 240 + -240 = 0
0 + -16.12x = -18500 + -240
-16.12x = -18500 + -240

Combine like terms: -18500 + -240 = -18740
-16.12x = -18740

Divide each side by '-16.12'.
x = 1162.531017

Simplifying
x = 1162.531017

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