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

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


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

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

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

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

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

Solving
8 + 3x = 1 + 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.
8 + 3x + -2x = 1 + 2x + -2x

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

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

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

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

Combine like terms: 1 + -8 = -7
1x = -7

Divide each side by '1'.
x = -7

Simplifying
x = -7

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