3(10-3X)+4x=5x(10-3x)

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Solution for 3(10-3X)+4x=5x(10-3x) equation: 


Simplifying
3(10 + -3X) + 4x = 5x(10 + -3x)
(10 * 3 + -3X * 3) + 4x = 5x(10 + -3x)
(30 + -9X) + 4x = 5x(10 + -3x)
30 + -9X + 4x = (10 * 5x + -3x * 5x)
30 + -9X + 4x = (50x + -15x2)

Solving
30 + -9X + 4x = 50x + -15x2

Solving for variable 'X'.

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

Add '-30' to each side of the equation.
30 + -9X + -30 + 4x = 50x + -30 + -15x2

Reorder the terms:
30 + -30 + -9X + 4x = 50x + -30 + -15x2

Combine like terms: 30 + -30 = 0
0 + -9X + 4x = 50x + -30 + -15x2
-9X + 4x = 50x + -30 + -15x2

Reorder the terms:
-9X + 4x = -30 + 50x + -15x2

Add '-4x' to each side of the equation.
-9X + 4x + -4x = -30 + 50x + -4x + -15x2

Combine like terms: 4x + -4x = 0
-9X + 0 = -30 + 50x + -4x + -15x2
-9X = -30 + 50x + -4x + -15x2

Combine like terms: 50x + -4x = 46x
-9X = -30 + 46x + -15x2

Divide each side by '-9'.
X = 3.333333333 + -5.111111111x + 1.666666667x2

Simplifying
X = 3.333333333 + -5.111111111x + 1.666666667x2

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