9x+2=x+(10x-2)

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Solution for 9x+2=x+(10x-2) equation:


Simplifying
9x + 2 = x + (10x + -2)

Reorder the terms:
2 + 9x = x + (10x + -2)

Reorder the terms:
2 + 9x = x + (-2 + 10x)

Remove parenthesis around (-2 + 10x)
2 + 9x = x + -2 + 10x

Reorder the terms:
2 + 9x = -2 + x + 10x

Combine like terms: x + 10x = 11x
2 + 9x = -2 + 11x

Solving
2 + 9x = -2 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
2 + 9x + -11x = -2 + 11x + -11x

Combine like terms: 9x + -11x = -2x
2 + -2x = -2 + 11x + -11x

Combine like terms: 11x + -11x = 0
2 + -2x = -2 + 0
2 + -2x = -2

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

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

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

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

Simplifying
x = 2

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