6x+2+x=1+5x-1

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Solution for 6x+2+x=1+5x-1 equation:


Simplifying
6x + 2 + x = 1 + 5x + -1

Reorder the terms:
2 + 6x + x = 1 + 5x + -1

Combine like terms: 6x + x = 7x
2 + 7x = 1 + 5x + -1

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

Combine like terms: 1 + -1 = 0
2 + 7x = 0 + 5x
2 + 7x = 5x

Solving
2 + 7x = 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
2 + 7x + -5x = 5x + -5x

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

Combine like terms: 5x + -5x = 0
2 + 2x = 0

Add '-2' to each side of the equation.
2 + -2 + 2x = 0 + -2

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

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

Divide each side by '2'.
x = -1

Simplifying
x = -1

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