2x+1-7x+1=-2x+1+7

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Solution for 2x+1-7x+1=-2x+1+7 equation: 


Simplifying
2x + 1 + -7x + 1 = -2x + 1 + 7

Reorder the terms:
1 + 1 + 2x + -7x = -2x + 1 + 7

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

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

Reorder the terms:
2 + -5x = 1 + 7 + -2x

Combine like terms: 1 + 7 = 8
2 + -5x = 8 + -2x

Solving
2 + -5x = 8 + -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 + -5x + 2x = 8 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
2 + -3x = 8 + 0
2 + -3x = 8

Add '-2' to each side of the equation.
2 + -2 + -3x = 8 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 8 + -2
-3x = 8 + -2

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

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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