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

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


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

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

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

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

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

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

Combine like terms: 8x + -1x = 7x
2 + 3x = 3 + 7x

Solving
2 + 3x = 3 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
2 + 3x + -7x = 3 + 7x + -7x

Combine like terms: 3x + -7x = -4x
2 + -4x = 3 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + -4x = 3 + 0
2 + -4x = 3

Add '-2' to each side of the equation.
2 + -2 + -4x = 3 + -2

Combine like terms: 2 + -2 = 0
0 + -4x = 3 + -2
-4x = 3 + -2

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

Divide each side by '-4'.
x = -0.25

Simplifying
x = -0.25

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