20*x-(600-x)*20=15*x

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Solution for 20*x-(600-x)*20=15*x equation:


Simplifying
20x + -1(600 + -1x) * 20 = 15x

Reorder the terms for easier multiplication:
20x + -1 * 20(600 + -1x) = 15x

Multiply -1 * 20
20x + -20(600 + -1x) = 15x
20x + (600 * -20 + -1x * -20) = 15x
20x + (-12000 + 20x) = 15x

Reorder the terms:
-12000 + 20x + 20x = 15x

Combine like terms: 20x + 20x = 40x
-12000 + 40x = 15x

Solving
-12000 + 40x = 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-12000 + 40x + -15x = 15x + -15x

Combine like terms: 40x + -15x = 25x
-12000 + 25x = 15x + -15x

Combine like terms: 15x + -15x = 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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