7x-(5x+6)+(x-2)=3x-8

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Solution for 7x-(5x+6)+(x-2)=3x-8 equation: 


Simplifying
7x + -1(5x + 6) + (x + -2) = 3x + -8

Reorder the terms:
7x + -1(6 + 5x) + (x + -2) = 3x + -8
7x + (6 * -1 + 5x * -1) + (x + -2) = 3x + -8
7x + (-6 + -5x) + (x + -2) = 3x + -8

Reorder the terms:
7x + -6 + -5x + (-2 + x) = 3x + -8

Remove parenthesis around (-2 + x)
7x + -6 + -5x + -2 + x = 3x + -8

Reorder the terms:
-6 + -2 + 7x + -5x + x = 3x + -8

Combine like terms: -6 + -2 = -8
-8 + 7x + -5x + x = 3x + -8

Combine like terms: 7x + -5x = 2x
-8 + 2x + x = 3x + -8

Combine like terms: 2x + x = 3x
-8 + 3x = 3x + -8

Reorder the terms:
-8 + 3x = -8 + 3x

Add '8' to each side of the equation.
-8 + 8 + 3x = -8 + 8 + 3x

Combine like terms: -8 + 8 = 0
0 + 3x = -8 + 8 + 3x
3x = -8 + 8 + 3x

Combine like terms: -8 + 8 = 0
3x = 0 + 3x
3x = 3x

Add '-3x' to each side of the equation.
3x + -3x = 3x + -3x

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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