5(3X-X+3)+8X=6X-5-2X

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Solution for 5(3X-X+3)+8X=6X-5-2X equation: 


Simplifying
5(3X + -1X + 3) + 8X = 6X + -5 + -2X

Reorder the terms:
5(3 + 3X + -1X) + 8X = 6X + -5 + -2X

Combine like terms: 3X + -1X = 2X
5(3 + 2X) + 8X = 6X + -5 + -2X
(3 * 5 + 2X * 5) + 8X = 6X + -5 + -2X
(15 + 10X) + 8X = 6X + -5 + -2X

Combine like terms: 10X + 8X = 18X
15 + 18X = 6X + -5 + -2X

Reorder the terms:
15 + 18X = -5 + 6X + -2X

Combine like terms: 6X + -2X = 4X
15 + 18X = -5 + 4X

Solving
15 + 18X = -5 + 4X

Solving for variable 'X'.

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

Add '-4X' to each side of the equation.
15 + 18X + -4X = -5 + 4X + -4X

Combine like terms: 18X + -4X = 14X
15 + 14X = -5 + 4X + -4X

Combine like terms: 4X + -4X = 0
15 + 14X = -5 + 0
15 + 14X = -5

Add '-15' to each side of the equation.
15 + -15 + 14X = -5 + -15

Combine like terms: 15 + -15 = 0
0 + 14X = -5 + -15
14X = -5 + -15

Combine like terms: -5 + -15 = -20
14X = -20

Divide each side by '14'.
X = -1.428571429

Simplifying
X = -1.428571429

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