(6x-6)=(5x+1)

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Solution for (6x-6)=(5x+1) equation:


Simplifying
(6x + -6) = (5x + 1)

Reorder the terms:
(-6 + 6x) = (5x + 1)

Remove parenthesis around (-6 + 6x)
-6 + 6x = (5x + 1)

Reorder the terms:
-6 + 6x = (1 + 5x)

Remove parenthesis around (1 + 5x)
-6 + 6x = 1 + 5x

Solving
-6 + 6x = 1 + 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.
-6 + 6x + -5x = 1 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
-6 + 1x = 1 + 0
-6 + 1x = 1

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

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

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

Divide each side by '1'.
x = 7

Simplifying
x = 7

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