x-8=7(x-8)

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Solution for x-8=7(x-8) equation:


Simplifying
x + -8 = 7(x + -8)

Reorder the terms:
-8 + x = 7(x + -8)

Reorder the terms:
-8 + x = 7(-8 + x)
-8 + x = (-8 * 7 + x * 7)
-8 + x = (-56 + 7x)

Solving
-8 + x = -56 + 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.
-8 + x + -7x = -56 + 7x + -7x

Combine like terms: x + -7x = -6x
-8 + -6x = -56 + 7x + -7x

Combine like terms: 7x + -7x = 0
-8 + -6x = -56 + 0
-8 + -6x = -56

Add '8' to each side of the equation.
-8 + 8 + -6x = -56 + 8

Combine like terms: -8 + 8 = 0
0 + -6x = -56 + 8
-6x = -56 + 8

Combine like terms: -56 + 8 = -48
-6x = -48

Divide each side by '-6'.
x = 8

Simplifying
x = 8

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