6x-6=(x-7)7

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


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

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

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

Reorder the terms for easier multiplication:
-6 + 6x = 7(-7 + x)
-6 + 6x = (-7 * 7 + x * 7)
-6 + 6x = (-49 + 7x)

Solving
-6 + 6x = -49 + 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 = -49 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-6 + -1x = -49 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6 + -1x = -49 + 0
-6 + -1x = -49

Add '6' to each side of the equation.
-6 + 6 + -1x = -49 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = -49 + 6
-1x = -49 + 6

Combine like terms: -49 + 6 = -43
-1x = -43

Divide each side by '-1'.
x = 43

Simplifying
x = 43

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