(2-x)+8x=3(x-6)

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


Simplifying
(2 + -1x) + 8x = 3(x + -6)

Remove parenthesis around (2 + -1x)
2 + -1x + 8x = 3(x + -6)

Combine like terms: -1x + 8x = 7x
2 + 7x = 3(x + -6)

Reorder the terms:
2 + 7x = 3(-6 + x)
2 + 7x = (-6 * 3 + x * 3)
2 + 7x = (-18 + 3x)

Solving
2 + 7x = -18 + 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.
2 + 7x + -3x = -18 + 3x + -3x

Combine like terms: 7x + -3x = 4x
2 + 4x = -18 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + 4x = -18 + 0
2 + 4x = -18

Add '-2' to each side of the equation.
2 + -2 + 4x = -18 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = -18 + -2
4x = -18 + -2

Combine like terms: -18 + -2 = -20
4x = -20

Divide each side by '4'.
x = -5

Simplifying
x = -5

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