6(10-2X)=3(5X+3)

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Solution for 6(10-2X)=3(5X+3) equation:


Simplifying
6(10 + -2X) = 3(5X + 3)
(10 * 6 + -2X * 6) = 3(5X + 3)
(60 + -12X) = 3(5X + 3)

Reorder the terms:
60 + -12X = 3(3 + 5X)
60 + -12X = (3 * 3 + 5X * 3)
60 + -12X = (9 + 15X)

Solving
60 + -12X = 9 + 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.
60 + -12X + -15X = 9 + 15X + -15X

Combine like terms: -12X + -15X = -27X
60 + -27X = 9 + 15X + -15X

Combine like terms: 15X + -15X = 0
60 + -27X = 9 + 0
60 + -27X = 9

Add '-60' to each side of the equation.
60 + -60 + -27X = 9 + -60

Combine like terms: 60 + -60 = 0
0 + -27X = 9 + -60
-27X = 9 + -60

Combine like terms: 9 + -60 = -51
-27X = -51

Divide each side by '-27'.
X = 1.888888889

Simplifying
X = 1.888888889

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