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

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Solution for 30-x=-3(x-8)+2 equation: 


Simplifying
30 + -1x = -3(x + -8) + 2

Reorder the terms:
30 + -1x = -3(-8 + x) + 2
30 + -1x = (-8 * -3 + x * -3) + 2
30 + -1x = (24 + -3x) + 2

Reorder the terms:
30 + -1x = 24 + 2 + -3x

Combine like terms: 24 + 2 = 26
30 + -1x = 26 + -3x

Solving
30 + -1x = 26 + -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.
30 + -1x + 3x = 26 + -3x + 3x

Combine like terms: -1x + 3x = 2x
30 + 2x = 26 + -3x + 3x

Combine like terms: -3x + 3x = 0
30 + 2x = 26 + 0
30 + 2x = 26

Add '-30' to each side of the equation.
30 + -30 + 2x = 26 + -30

Combine like terms: 30 + -30 = 0
0 + 2x = 26 + -30
2x = 26 + -30

Combine like terms: 26 + -30 = -4
2x = -4

Divide each side by '2'.
x = -2

Simplifying
x = -2

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