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

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


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

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

Reorder the terms:
72000 + 2400 * 0.8(-30 + x) = 2160x

Multiply 2400 * 0.8
72000 + 1920(-30 + x) = 2160x
72000 + (-30 * 1920 + x * 1920) = 2160x
72000 + (-57600 + 1920x) = 2160x

Combine like terms: 72000 + -57600 = 14400
14400 + 1920x = 2160x

Solving
14400 + 1920x = 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.
14400 + 1920x + -2160x = 2160x + -2160x

Combine like terms: 1920x + -2160x = -240x
14400 + -240x = 2160x + -2160x

Combine like terms: 2160x + -2160x = 0
14400 + -240x = 0

Add '-14400' to each side of the equation.
14400 + -14400 + -240x = 0 + -14400

Combine like terms: 14400 + -14400 = 0
0 + -240x = 0 + -14400
-240x = 0 + -14400

Combine like terms: 0 + -14400 = -14400
-240x = -14400

Divide each side by '-240'.
x = 60

Simplifying
x = 60

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