5x+1-3x+6=x-6-5x+1

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Solution for 5x+1-3x+6=x-6-5x+1 equation: 


Simplifying
5x + 1 + -3x + 6 = x + -6 + -5x + 1

Reorder the terms:
1 + 6 + 5x + -3x = x + -6 + -5x + 1

Combine like terms: 1 + 6 = 7
7 + 5x + -3x = x + -6 + -5x + 1

Combine like terms: 5x + -3x = 2x
7 + 2x = x + -6 + -5x + 1

Reorder the terms:
7 + 2x = -6 + 1 + x + -5x

Combine like terms: -6 + 1 = -5
7 + 2x = -5 + x + -5x

Combine like terms: x + -5x = -4x
7 + 2x = -5 + -4x

Solving
7 + 2x = -5 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
7 + 2x + 4x = -5 + -4x + 4x

Combine like terms: 2x + 4x = 6x
7 + 6x = -5 + -4x + 4x

Combine like terms: -4x + 4x = 0
7 + 6x = -5 + 0
7 + 6x = -5

Add '-7' to each side of the equation.
7 + -7 + 6x = -5 + -7

Combine like terms: 7 + -7 = 0
0 + 6x = -5 + -7
6x = -5 + -7

Combine like terms: -5 + -7 = -12
6x = -12

Divide each side by '6'.
x = -2

Simplifying
x = -2

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