(6x-6)=(7x-7)

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Solution for (6x-6)=(7x-7) equation:


Simplifying
(6x + -6) = (7x + -7)

Reorder the terms:
(-6 + 6x) = (7x + -7)

Remove parenthesis around (-6 + 6x)
-6 + 6x = (7x + -7)

Reorder the terms:
-6 + 6x = (-7 + 7x)

Remove parenthesis around (-7 + 7x)
-6 + 6x = -7 + 7x

Solving
-6 + 6x = -7 + 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.
-6 + 6x + -7x = -7 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
-6 + -1x = -7 + 0
-6 + -1x = -7

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

Combine like terms: -6 + 6 = 0
0 + -1x = -7 + 6
-1x = -7 + 6

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

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

Simplifying
x = 1

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