10x+2-6x+1=8x+1-x+4

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Solution for 10x+2-6x+1=8x+1-x+4 equation: 


Simplifying
10x + 2 + -6x + 1 = 8x + 1 + -1x + 4

Reorder the terms:
2 + 1 + 10x + -6x = 8x + 1 + -1x + 4

Combine like terms: 2 + 1 = 3
3 + 10x + -6x = 8x + 1 + -1x + 4

Combine like terms: 10x + -6x = 4x
3 + 4x = 8x + 1 + -1x + 4

Reorder the terms:
3 + 4x = 1 + 4 + 8x + -1x

Combine like terms: 1 + 4 = 5
3 + 4x = 5 + 8x + -1x

Combine like terms: 8x + -1x = 7x
3 + 4x = 5 + 7x

Solving
3 + 4x = 5 + 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.
3 + 4x + -7x = 5 + 7x + -7x

Combine like terms: 4x + -7x = -3x
3 + -3x = 5 + 7x + -7x

Combine like terms: 7x + -7x = 0
3 + -3x = 5 + 0
3 + -3x = 5

Add '-3' to each side of the equation.
3 + -3 + -3x = 5 + -3

Combine like terms: 3 + -3 = 0
0 + -3x = 5 + -3
-3x = 5 + -3

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

Divide each side by '-3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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