-(3x+5)+(2x+6)+1=-5(x-1)+(3x+2)+3

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Solution for -(3x+5)+(2x+6)+1=-5(x-1)+(3x+2)+3 equation: 


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

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

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

Remove parenthesis around (6 + 2x)
-5 + -3x + 6 + 2x + 1 = -5(x + -1) + (3x + 2) + 3

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

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

Combine like terms: 1 + 1 = 2
2 + -3x + 2x = -5(x + -1) + (3x + 2) + 3

Combine like terms: -3x + 2x = -1x
2 + -1x = -5(x + -1) + (3x + 2) + 3

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

Reorder the terms:
2 + -1x = 5 + -5x + (2 + 3x) + 3

Remove parenthesis around (2 + 3x)
2 + -1x = 5 + -5x + 2 + 3x + 3

Reorder the terms:
2 + -1x = 5 + 2 + 3 + -5x + 3x

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

Combine like terms: 7 + 3 = 10
2 + -1x = 10 + -5x + 3x

Combine like terms: -5x + 3x = -2x
2 + -1x = 10 + -2x

Solving
2 + -1x = 10 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
2 + -1x + 2x = 10 + -2x + 2x

Combine like terms: -1x + 2x = 1x
2 + 1x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
2 + 1x = 10 + 0
2 + 1x = 10

Add '-2' to each side of the equation.
2 + -2 + 1x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 10 + -2
1x = 10 + -2

Combine like terms: 10 + -2 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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