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

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


Simplifying
3(2 + 6X) + -8(X + -5) = (3X + 2)
(2 * 3 + 6X * 3) + -8(X + -5) = (3X + 2)
(6 + 18X) + -8(X + -5) = (3X + 2)

Reorder the terms:
6 + 18X + -8(-5 + X) = (3X + 2)
6 + 18X + (-5 * -8 + X * -8) = (3X + 2)
6 + 18X + (40 + -8X) = (3X + 2)

Reorder the terms:
6 + 40 + 18X + -8X = (3X + 2)

Combine like terms: 6 + 40 = 46
46 + 18X + -8X = (3X + 2)

Combine like terms: 18X + -8X = 10X
46 + 10X = (3X + 2)

Reorder the terms:
46 + 10X = (2 + 3X)

Remove parenthesis around (2 + 3X)
46 + 10X = 2 + 3X

Solving
46 + 10X = 2 + 3X

Solving for variable 'X'.

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

Add '-3X' to each side of the equation.
46 + 10X + -3X = 2 + 3X + -3X

Combine like terms: 10X + -3X = 7X
46 + 7X = 2 + 3X + -3X

Combine like terms: 3X + -3X = 0
46 + 7X = 2 + 0
46 + 7X = 2

Add '-46' to each side of the equation.
46 + -46 + 7X = 2 + -46

Combine like terms: 46 + -46 = 0
0 + 7X = 2 + -46
7X = 2 + -46

Combine like terms: 2 + -46 = -44
7X = -44

Divide each side by '7'.
X = -6.285714286

Simplifying
X = -6.285714286

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