144000=24x+40(5000-x)

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Solution for 144000=24x+40(5000-x) equation:


Simplifying
144000 = 24x + 40(5000 + -1x)
144000 = 24x + (5000 * 40 + -1x * 40)
144000 = 24x + (200000 + -40x)

Reorder the terms:
144000 = 200000 + 24x + -40x

Combine like terms: 24x + -40x = -16x
144000 = 200000 + -16x

Solving
144000 = 200000 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
144000 + 16x = 200000 + -16x + 16x

Combine like terms: -16x + 16x = 0
144000 + 16x = 200000 + 0
144000 + 16x = 200000

Add '-144000' to each side of the equation.
144000 + -144000 + 16x = 200000 + -144000

Combine like terms: 144000 + -144000 = 0
0 + 16x = 200000 + -144000
16x = 200000 + -144000

Combine like terms: 200000 + -144000 = 56000
16x = 56000

Divide each side by '16'.
x = 3500

Simplifying
x = 3500

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