2400*30+2400*0.8*30+2400*0.7*(x-60)=2160x

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Solution for 2400*30+2400*0.8*30+2400*0.7*(x-60)=2160x equation: 


Simplifying
2400 * 30 + 2400 * 0.8 * 30 + 2400 * 0.7(x + -60) = 2160x

Multiply 2400 * 30
72000 + 2400 * 0.8 * 30 + 2400 * 0.7(x + -60) = 2160x

Multiply 2400 * 0.8
72000 + 1920 * 30 + 2400 * 0.7(x + -60) = 2160x

Multiply 1920 * 30
72000 + 57600 + 2400 * 0.7(x + -60) = 2160x

Reorder the terms:
72000 + 57600 + 2400 * 0.7(-60 + x) = 2160x

Multiply 2400 * 0.7
72000 + 57600 + 1680(-60 + x) = 2160x
72000 + 57600 + (-60 * 1680 + x * 1680) = 2160x
72000 + 57600 + (-100800 + 1680x) = 2160x

Combine like terms: 72000 + 57600 = 129600
129600 + -100800 + 1680x = 2160x

Combine like terms: 129600 + -100800 = 28800
28800 + 1680x = 2160x

Solving
28800 + 1680x = 2160x

Solving for variable 'x'.

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

Add '-2160x' to each side of the equation.
28800 + 1680x + -2160x = 2160x + -2160x

Combine like terms: 1680x + -2160x = -480x
28800 + -480x = 2160x + -2160x

Combine like terms: 2160x + -2160x = 0
28800 + -480x = 0

Add '-28800' to each side of the equation.
28800 + -28800 + -480x = 0 + -28800

Combine like terms: 28800 + -28800 = 0
0 + -480x = 0 + -28800
-480x = 0 + -28800

Combine like terms: 0 + -28800 = -28800
-480x = -28800

Divide each side by '-480'.
x = 60

Simplifying
x = 60

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