x*2+8=x*2+2x-2

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Solution for x*2+8=x*2+2x-2 equation:


Simplifying
x * 2 + 8 = x * 2 + 2x + -2

Reorder the terms for easier multiplication:
2x + 8 = x * 2 + 2x + -2

Reorder the terms:
8 + 2x = x * 2 + 2x + -2

Reorder the terms for easier multiplication:
8 + 2x = 2x + 2x + -2

Reorder the terms:
8 + 2x = -2 + 2x + 2x

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

Solving
8 + 2x = -2 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
8 + 2x + -4x = -2 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
8 + -2x = -2 + 0
8 + -2x = -2

Add '-8' to each side of the equation.
8 + -8 + -2x = -2 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = -2 + -8
-2x = -2 + -8

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

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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