5(4-X)=3(5X-2)-9+3X

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Solution for 5(4-X)=3(5X-2)-9+3X equation: 


Simplifying
5(4 + -1X) = 3(5X + -2) + -9 + 3X
(4 * 5 + -1X * 5) = 3(5X + -2) + -9 + 3X
(20 + -5X) = 3(5X + -2) + -9 + 3X

Reorder the terms:
20 + -5X = 3(-2 + 5X) + -9 + 3X
20 + -5X = (-2 * 3 + 5X * 3) + -9 + 3X
20 + -5X = (-6 + 15X) + -9 + 3X

Reorder the terms:
20 + -5X = -6 + -9 + 15X + 3X

Combine like terms: -6 + -9 = -15
20 + -5X = -15 + 15X + 3X

Combine like terms: 15X + 3X = 18X
20 + -5X = -15 + 18X

Solving
20 + -5X = -15 + 18X

Solving for variable 'X'.

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

Add '-18X' to each side of the equation.
20 + -5X + -18X = -15 + 18X + -18X

Combine like terms: -5X + -18X = -23X
20 + -23X = -15 + 18X + -18X

Combine like terms: 18X + -18X = 0
20 + -23X = -15 + 0
20 + -23X = -15

Add '-20' to each side of the equation.
20 + -20 + -23X = -15 + -20

Combine like terms: 20 + -20 = 0
0 + -23X = -15 + -20
-23X = -15 + -20

Combine like terms: -15 + -20 = -35
-23X = -35

Divide each side by '-23'.
X = 1.52173913

Simplifying
X = 1.52173913

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