x-1=7(x-1)

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Solution for x-1=7(x-1) equation:


Simplifying
x + -1 = 7(x + -1)

Reorder the terms:
-1 + x = 7(x + -1)

Reorder the terms:
-1 + x = 7(-1 + x)
-1 + x = (-1 * 7 + x * 7)
-1 + x = (-7 + 7x)

Solving
-1 + x = -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.
-1 + x + -7x = -7 + 7x + -7x

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

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

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

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

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

Divide each side by '-6'.
x = 1

Simplifying
x = 1

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