(x+6)=(3x-34)

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Solution for (x+6)=(3x-34) equation:


Simplifying
(x + 6) = (3x + -34)

Reorder the terms:
(6 + x) = (3x + -34)

Remove parenthesis around (6 + x)
6 + x = (3x + -34)

Reorder the terms:
6 + x = (-34 + 3x)

Remove parenthesis around (-34 + 3x)
6 + x = -34 + 3x

Solving
6 + x = -34 + 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.
6 + x + -3x = -34 + 3x + -3x

Combine like terms: x + -3x = -2x
6 + -2x = -34 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -2x = -34 + 0
6 + -2x = -34

Add '-6' to each side of the equation.
6 + -6 + -2x = -34 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -34 + -6
-2x = -34 + -6

Combine like terms: -34 + -6 = -40
-2x = -40

Divide each side by '-2'.
x = 20

Simplifying
x = 20

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