5x-3x+x+8=2x+1+1+x+x

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Solution for 5x-3x+x+8=2x+1+1+x+x equation: 


Simplifying
5x + -3x + x + 8 = 2x + 1 + 1 + x + x

Reorder the terms:
8 + 5x + -3x + x = 2x + 1 + 1 + x + x

Combine like terms: 5x + -3x = 2x
8 + 2x + x = 2x + 1 + 1 + x + x

Combine like terms: 2x + x = 3x
8 + 3x = 2x + 1 + 1 + x + x

Reorder the terms:
8 + 3x = 1 + 1 + 2x + x + x

Combine like terms: 1 + 1 = 2
8 + 3x = 2 + 2x + x + x

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

Combine like terms: 3x + x = 4x
8 + 3x = 2 + 4x

Solving
8 + 3x = 2 + 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.
8 + 3x + -4x = 2 + 4x + -4x

Combine like terms: 3x + -4x = -1x
8 + -1x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + -1x = 2 + 0
8 + -1x = 2

Add '-8' to each side of the equation.
8 + -8 + -1x = 2 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 2 + -8
-1x = 2 + -8

Combine like terms: 2 + -8 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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