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

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Solution for 30=x+(x-10)+(x-10-2) equation:


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

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

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

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

Combine like terms: -10 + -2 = -12
30 = x + -10 + x + (-12 + x)

Remove parenthesis around (-12 + x)
30 = x + -10 + x + -12 + x

Reorder the terms:
30 = -10 + -12 + x + x + x

Combine like terms: -10 + -12 = -22
30 = -22 + x + x + x

Combine like terms: x + x = 2x
30 = -22 + 2x + x

Combine like terms: 2x + x = 3x
30 = -22 + 3x

Solving
30 = -22 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
30 + -3x = -22 + 3x + -3x

Combine like terms: 3x + -3x = 0
30 + -3x = -22 + 0
30 + -3x = -22

Add '-30' to each side of the equation.
30 + -30 + -3x = -22 + -30

Combine like terms: 30 + -30 = 0
0 + -3x = -22 + -30
-3x = -22 + -30

Combine like terms: -22 + -30 = -52
-3x = -52

Divide each side by '-3'.
x = 17.33333333

Simplifying
x = 17.33333333

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