25*x-(600-x)*20=20*x

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Solution for 25*x-(600-x)*20=20*x equation:


Simplifying
25x + -1(600 + -1x) * 20 = 20x

Reorder the terms for easier multiplication:
25x + -1 * 20(600 + -1x) = 20x

Multiply -1 * 20
25x + -20(600 + -1x) = 20x
25x + (600 * -20 + -1x * -20) = 20x
25x + (-12000 + 20x) = 20x

Reorder the terms:
-12000 + 25x + 20x = 20x

Combine like terms: 25x + 20x = 45x
-12000 + 45x = 20x

Solving
-12000 + 45x = 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-12000 + 45x + -20x = 20x + -20x

Combine like terms: 45x + -20x = 25x
-12000 + 25x = 20x + -20x

Combine like terms: 20x + -20x = 0
-12000 + 25x = 0

Add '12000' to each side of the equation.
-12000 + 12000 + 25x = 0 + 12000

Combine like terms: -12000 + 12000 = 0
0 + 25x = 0 + 12000
25x = 0 + 12000

Combine like terms: 0 + 12000 = 12000
25x = 12000

Divide each side by '25'.
x = 480

Simplifying
x = 480

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