x-2=5(x-2)

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Solution for x-2=5(x-2) equation:


Simplifying
x + -2 = 5(x + -2)

Reorder the terms:
-2 + x = 5(x + -2)

Reorder the terms:
-2 + x = 5(-2 + x)
-2 + x = (-2 * 5 + x * 5)
-2 + x = (-10 + 5x)

Solving
-2 + x = -10 + 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.
-2 + x + -5x = -10 + 5x + -5x

Combine like terms: x + -5x = -4x
-2 + -4x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + -4x = -10 + 0
-2 + -4x = -10

Add '2' to each side of the equation.
-2 + 2 + -4x = -10 + 2

Combine like terms: -2 + 2 = 0
0 + -4x = -10 + 2
-4x = -10 + 2

Combine like terms: -10 + 2 = -8
-4x = -8

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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