7x+1=6x-6

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Solution for 7x+1=6x-6 equation:


Simplifying
7x + 1 = 6x + -6

Reorder the terms:
1 + 7x = 6x + -6

Reorder the terms:
1 + 7x = -6 + 6x

Solving
1 + 7x = -6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
1 + 7x + -6x = -6 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
1 + 1x = -6 + 0
1 + 1x = -6

Add '-1' to each side of the equation.
1 + -1 + 1x = -6 + -1

Combine like terms: 1 + -1 = 0
0 + 1x = -6 + -1
1x = -6 + -1

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

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

Simplifying
x = -7

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