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 = -12
-6 + x = -12 + 3x

Solving
-6 + x = -12 + 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 = -12 + 3x + -3x

Combine like terms: x + -3x = -2x
-6 + -2x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + -2x = -12 + 0
-6 + -2x = -12

Add '6' to each side of the equation.
-6 + 6 + -2x = -12 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = -12 + 6
-2x = -12 + 6

Combine like terms: -12 + 6 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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