8-3(x-1)-(x+5)=30

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Solution for 8-3(x-1)-(x+5)=30 equation: 


Simplifying
8 + -3(x + -1) + -1(x + 5) = 30

Reorder the terms:
8 + -3(-1 + x) + -1(x + 5) = 30
8 + (-1 * -3 + x * -3) + -1(x + 5) = 30
8 + (3 + -3x) + -1(x + 5) = 30

Reorder the terms:
8 + 3 + -3x + -1(5 + x) = 30
8 + 3 + -3x + (5 * -1 + x * -1) = 30
8 + 3 + -3x + (-5 + -1x) = 30

Reorder the terms:
8 + 3 + -5 + -3x + -1x = 30

Combine like terms: 8 + 3 = 11
11 + -5 + -3x + -1x = 30

Combine like terms: 11 + -5 = 6
6 + -3x + -1x = 30

Combine like terms: -3x + -1x = -4x
6 + -4x = 30

Solving
6 + -4x = 30

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -4x = 30 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = 30 + -6
-4x = 30 + -6

Combine like terms: 30 + -6 = 24
-4x = 24

Divide each side by '-4'.
x = -6

Simplifying
x = -6

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