x-6=7+(3x-5)

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Solution for x-6=7+(3x-5) equation:


Simplifying
x + -6 = 7 + (3x + -5)

Reorder the terms:
-6 + x = 7 + (3x + -5)

Reorder the terms:
-6 + x = 7 + (-5 + 3x)

Remove parenthesis around (-5 + 3x)
-6 + x = 7 + -5 + 3x

Combine like terms: 7 + -5 = 2
-6 + x = 2 + 3x

Solving
-6 + x = 2 + 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 = 2 + 3x + -3x

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

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

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

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

Combine like terms: 2 + 6 = 8
-2x = 8

Divide each side by '-2'.
x = -4

Simplifying
x = -4

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