-5(x-2)=(x-6)-34

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Solution for -5(x-2)=(x-6)-34 equation: 


Simplifying
-5(x + -2) = (x + -6) + -34

Reorder the terms:
-5(-2 + x) = (x + -6) + -34
(-2 * -5 + x * -5) = (x + -6) + -34
(10 + -5x) = (x + -6) + -34

Reorder the terms:
10 + -5x = (-6 + x) + -34

Remove parenthesis around (-6 + x)
10 + -5x = -6 + x + -34

Reorder the terms:
10 + -5x = -6 + -34 + x

Combine like terms: -6 + -34 = -40
10 + -5x = -40 + x

Solving
10 + -5x = -40 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
10 + -5x + -1x = -40 + x + -1x

Combine like terms: -5x + -1x = -6x
10 + -6x = -40 + x + -1x

Combine like terms: x + -1x = 0
10 + -6x = -40 + 0
10 + -6x = -40

Add '-10' to each side of the equation.
10 + -10 + -6x = -40 + -10

Combine like terms: 10 + -10 = 0
0 + -6x = -40 + -10
-6x = -40 + -10

Combine like terms: -40 + -10 = -50
-6x = -50

Divide each side by '-6'.
x = 8.333333333

Simplifying
x = 8.333333333

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